Answer:
3.5
Explanation:
The gas in the reaction is considered as the ideal gas. The new volume of the gas with heating was 2.77 L.
What is an ideal gas law?The ideal gas law can be given as:
[tex]PV=nRT[/tex]
For a gas with the change in pressure and temperature, the change in volume is given as:
[tex]\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}[/tex]
Substituting the initial pressure ([tex]P_1[/tex]), initial volume ([tex]V_1[/tex]), initial temperature ([tex]T_1[/tex]), final pressure ([tex]P_1[/tex]) final temperature ([tex]T_2[/tex]), and the final volume ([tex]V_2[/tex]) can be given as;
[tex]\rm \dfrac{1.4\;atm\;\times\;4\;L}{298\;K} = \dfrac{2.1\;atm\;\times\;\textit V_2}{310\;K}\\\\ \textit V_2=2.77\;L[/tex]
The new volume of the gas is 2.77 L.
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Which is true with respect to the kinetic energy of a molecule?
O A.
it is the lowest at low temperatures
B.
it increases at low temperatures
C.
it is the same at all temperatures
D.it is the lowest at high temperatures
Answer:
A. it is the lowest at low temperatures
Explanation:
At low temperature the kinetic energy of a molecule is low. The kinetic energy is directly proportional to the temperature of the molecule. The kinetic energy of a molecule increases with the increase in the temperature that energize the molecules of a substance and makes them to move faster than before.
As the kinetic energy is proportional to temperature so it does not increase with decrease in the temperature (low temperature). The kinetic energy varies with the change in the temperature and it is not same at all temperature. The kinetic energy is highest at high temperature. Thus, option A is correct.
Which organisms in a population produces more offspring than can survive this is called
Answer:
Biotic Potential
Explanation:
I googled it
Which element in Period 5 is the most active metal? Fr H Rb Sr
Answer:
RB
Explanation:
Rubidium is the first element placed in period 5 and is the most active metal.
Answer:
The answer is: Rb
Hope this helps :) <3
Explanation:
How many grams are in 4.23E44 particles of PbO2
1.679 × 10²³ g of PbO₂ is present in 4.23×10⁴⁴ particles of PbO₂.
Explanation:
First the number of particles is converted into moles by dividing it by the Avogadro's number and then moles multiplied by the molar mass, we will get the mass of PbO₂ in grams.
4.23×10⁴⁴/ 6.022×10²³ = 7.02×10²⁰ moles
Now we have to multiply this by the molar mass of PbO₂, that is 239.2 g/mol, we will get the mass in grams.
7.02×10²⁰ moles × 239.2 g/mol = 1.679 × 10²³ g of PbO₂
Calculate the percent ionization of a 0.447 M solution of nitrous acid
I hope this will help :)
when you remove energy from particles they move slower and the matter
Answer:
moves closer together?
3.01 x 10^23 atoms of rubidium
Answer:
0,5 mole
Explanation:
Because n = N/Nₐ, n(Rb) = 0,5 mole
One mole of every element contains 6,022045 × 10²³ atoms, so 3,01 × 10²³ atoms of rubidium is half mole.
To solve this we must be knowing each and every concept related to mole. Therefore, 3.01 x 0²³ atoms of rubidium contains 0.499moles.
What is mole?A mole is merely a measuring unit. In reality, it is one of its International System of Units' seven foundation units. When current units are insufficient, new units are created.
Chemical reactions frequently occur at levels where employing grams would be inappropriate, but using absolute quantities of atoms/molecules/ions would also be misleading.
For all practical reasons, one mole of a substance in grams is nearly equal to 1 molecule for the compound per daltons.
Mathematically,
mole =given number of atoms ÷ 6.022×10²³(Avogadro number)
given number of atoms=3.01 x 0²³
substituting all the given values in the above equation, we get
mole =3.01 x 0²³ ÷ 6.022×10²³(Avogadro number)
=0.499moles
Therefore, 3.01 x 0²³ atoms of rubidium contains 0.499moles.
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Which scenario will have the highest amount of kinetic energy? Question 5 options: a bicycle moving 2mph a sports car driving 50 mph a truck driving 50 mph a truck stopped
Answer:
A sports car driving 50 mph.
Explanation:
Cl2 + 2KBr - Br2 + 2KCI
How many grams of potassium chloride (KCl) can be produced from 356 g of
potassium bromide (KBr)?
223 g
814 g
149
479 g
US
10:09
223 grams of potassium chloride (KCl) can be produced from 356 g of potassium bromide.
HOW TO CALCULATE MASS:
According to this question, the following reaction is given:Cl2 + 2KBr → Br2 + 2KCIAccording to this equation, 2 moles of KBr will produce 2 moles of KCl. First, we convert the mass of KBr to moles by dividing by its molar mass. Molar mass of KBr = 119g/molMolar mass of KCl = 74.6g/molmoles of KBr = 356g ÷ 119g/mol = 2.99molSince 2 moles of KBr will produce 2 moles of KCl, 2.99 moles of KBr will produce 2.99moles of KCl. We then convert 2.99 moles of KCl to mass as follows:mass of KCl = 2.99 moles × 74.6g/molmass of KCl = 223g. Therefore, 223 grams of potassium chloride (KCl) can be produced from 356 g of potassium bromide.Learn more at: https://brainly.com/question/18269198?referrer=searchResults
Use the drop-down menus to complete the sentences describing what happens when the temperature of a fluid
increases.
The kinetic energy of the molecules
The speed of the molecules
The density of the fluid
The fluid
when the temperature of a fluid increases the kinetic energy of the molecules increases.
Explanation:
when there is a change in liquid temperature then there will be changes in its properties especially in the (KE) kinetic energy of molecules and the density of the fluid. Due to the addition of the heat kinetic energy of the fluid molecules as it gains the heat, the intermolecular movement increases so there will be in the increased collision between the molecules which results in breaking the intermolecular force. Whenever the heat is applied to any matters nature is to tend to expand so the fluids also expand which results in the decrease in the density of the liquid. And also due to the increases in the kinetic energy, the speed of the fluid also increases.According to the kinetic-molecular theory, when the temperature of a fluid increases:
1. The kinetic energy of the molecules increases.
2. The speed of the molecules increases.
3. The density of the fluid decreases.
4. The fluid rises.
The kinetic-molecular theory of gas states that gas molecules typically exhibit a perfectly elastic collision and are always in a state of continuous (constant) random motion.
This ultimately implies that, the average kinetic energy of gas molecules is directly proportional (highly dependent) to both the temperature and speed of the molecules and inversely proportional to its density in accordance with the kinetic-molecular theory.
Deductively, we can conclude that the following happens when the temperature of a fluid increases:
The kinetic energy of the molecules increases.The speed of the molecules increases.The density of the fluid decreases.The fluid rises.Read more on kinetic-energy here: brainly.com/question/11640748
Which of the following statements describes the incorrect arrow movement
Electromagnetic Spectrum Activity Worksheet
Instructions: Choose three activities in your everyday life that involve electromagnetic energy, and fill in the required information below.
Electromagnetic Energy Example One
Activity: microwaving food
Type of electromagnetic energy: Radiation
Just answer description of use for this one
Description of use:
Electromagnetic Energy Example Two
Activity:
Type of electromagnetic energy:
Description of use:
Electromagnetic Energy Example Three
Activity:
Type of electromagnetic energy:
Description of use:
2. Example of electromagnetic energy is X-Rays.
Type of electromagnetic energy is radiation/ gamma rays.
3. Example of electromagnetic energy is Radio.
Type of electromagnetic energy is Electromagnetic spectrum
Explanation:
Electromagnetic Energy Example Two Activity: X-RaysType of electromagnetic energy: Radiations / Gamma RaysElectromagnetic Energy Example Three Activity: Radio.Type of electromagnetic energy: Electromagnetic spectrumAnswer:
3 example
microwaves
airplanes
cars
Explanation:
microwaves uses heat waves
airplanes use radar waves
card uses the only visible waves, light,
then do some research mire about them, then choose a format that you want to do have a picture of the waves and the 3 lists and you will be about done! hopes it helps
The symbol of the period five element that is a member of the pnicitides family
The symbol of the period five element that is a member of the pnicitides family are antimony.
Explanation:
Pnictogen family
In periodic table, column 15 elements are Pnitogen family. The pnictogen elements are Nitrogen-N, arsenic-As, phosphorus-P, bismuth-Bi, antimony-Sb, ununpentium-Uup. There are five valence electrons each member of pnictogen family. In group 15 double bonds and triple bonds are formed due to these valence electrons. Pnictides, binary compounds of group 15.Antimony
Antimony is the element found in period 5 and block p. A chemical element, Antimony (Sb) from Latin word stibium and 51 is its atomic number. It is in solid state. In ancient times, antimony compounds are used as cosmetic and medicine. Appeared as semi metal. Electronic configurations of Sb is [Kr] 4d105s25p3.
If 13.5 L of Nitrogen gas react with 17.8 L of Hydrogen gas at STP, according to the following reaction, what mass of ammonia will be produced?
The reaction between nitrogen and hydrogen produces ammonia according to the equation N2(g) + 3H2(g) = 2NH3(g). Calculating stoichiometries in terms of volumes and moles shows that having 13.5L of nitrogen gas and 17.8L of hydrogen gas at STP will produce approximately 20.47g of ammonia.
Explanation:The subject of this question is the stoichiometry of the reaction between nitrogen gas and hydrogen gas to produce ammonia. This is defined by the balanced chemical equation N2(g) + 3H2(g) = 2NH3(g). According to this equation, one mole of nitrogen gas reacts with three moles of hydrogen gas to form two moles of ammonia.
Given that one mole of an ideal gas occupies approximately 22.4 L at STP (Standard Temperature and Pressure), the moles of nitrogen and hydrogen present in the scenario can be calculated by dividing the given volumes by 22.4. This gives us roughly 0.602 moles of Nitrogen and 0.795 moles of Hydrogen. The limiting reagent in this reaction is Nitrogen, because it would require at least 1.806 moles of Hydrogen to fully react with the Nitrogen present. Hence, the reaction will only proceed until all the Nitrogen is consumed.
This would form roughly 1.204 moles of ammonia (double the amount of Nitrogen as per the stoichiometry). The molar mass of ammonia given is 17 g/mol. So, multiplying the formed moles of ammonia by its molar mass gives us the total mass of produced ammonia, which is about 20.47 g.
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9.04 grams of ammonia will be produced.
If 13.5 L of Nitrogen gas react with 17.8 L of Hydrogen gas at STP, according to the reaction N₂ + 3H₂ → 2NH₃, we need to determine the mass of ammonia produced.
Step-by-Step Solution:
1. Identify the limiting reactant:
Using the balanced equation, 1 volume of N₂ reacts with 3 volumes of H₂. To react with 13.5 L of N₂, we need:
3 × 13.5 L = 40.5 L of H₂
Since we only have 17.8 L of H₂, Hydrogen is the limiting reactant.
2. Calculate the volume of NH₃ produced:
From the stoichiometry, 3 volumes of H₂ produce 2 volumes of NH₃. Hence, 17.8 L of H₂ will produce:
[tex]\frac{2}{3} * 17.8L[/tex] = 11.87 L of NH₃
3. Convert the volume of NH₃ to mass:
At STP, 1 mole of gas occupies 22.4 L. First, find the number of moles of NH₃:
[tex]\frac{11.87L}{22.4 L/mol}[/tex] = 0.5308 moles of NH₃
Now, calculate the mass of NH₃ using its molar mass (17.031 g/mol):
0.5308 moles × 17.031 g/mol = 9.04 grams
Therefore, the mass of ammonia produced is 9.04 grams.
What is the function of the swim bladder in a fish?
Answer:
The swim bladder is located in the body cavity and is derived from an outpocketing of the digestive tube. It contains gas (usually oxygen) and functions as an organ, enabling the fish to maintain its depth without floating upward or sinking.
Explanation:
Answer:
a and b bony and it helps them stay at a certain depth
Explanation:
The volume of helium in a blimp is 6.28 × 109 milliliters. The density of helium in the blimp is 0.1786 . Find the mass of the helium in the blimp.
Hey There!:
Density = mass / volume
Density of helium in the blimp = 0.1786 kg/m³
Volume of helium in the blimp = 6.28 x 10⁹ mL
converting the volume in m³ :
1 m³ -------------------------------- 1 x 10⁻⁶ m³
Volume( m³ ) -------------------- 6.28 x 10⁹
Volume ( m³ ) = ( 6.28 x 10⁹ ) x 1 / ( 1 x 10⁻⁶ )
Volume ( m³ ) = ( 6.28 x 10⁹ ) / ( 1 x 10⁻⁶ )
Volume ( m³ ) = 6280 m³
Therefore:
D = m / V
0.1786 = m / 6280
m = 0.1786 x 6280
m = 1121.608 g
converting in Kg :
1 kg ------------------ 1000 g
?? --------------------- 1121.608 g
mass = 1121.608 x 1 / 10000
mass = 1121.608 / 10000
mass = 1.12 x 10⁶ g
Hope that helps!
Final answer:
To find the mass of helium in the blimp, multiply the volume of helium ([tex]6.28 * 10^9[/tex] milliliters) by the density (0.1786 g/mL). This results in a mass of approximately [tex]1.121768 * 10^9[/tex] grams.
Explanation:
The question asks us to calculate the mass of the helium in the blimp given its volume and density. To find the mass, you need to use the formula: mass = volume × density.
In this case, the volume of helium is 6.28 × [tex]10^9[/tex] milliliters and the density of helium is 0.1786 grams per milliliter. So, you would calculate the mass as follows:
mass = 6.28 × [tex]10^9[/tex] mL × 0.1786 g/mL
mass = 1.121768 × [tex]10^9[/tex]grams
The mass of helium in the blimp is therefore approximately 1.121768 × [tex]10^9[/tex] grams.
Can someone help? Find: Number of H atoms in 6.047 x 10^23 molecules of H2.
1.2 x [tex]10^{24}[/tex] number of atoms in [tex]H_{2}[/tex] molecule
Explanation:
As we can see, one molecule of hydrogen is existing as two hydrogen atoms bond together. So, as we know that the number of molecules in one mole of the hydrogen atom is the Avogadro's numberHere, there are two atoms in every molecule of hydrogen. Hence, the number of atoms in every molecule of hydrogen would be calculated by multiplying 2 with the Avogadro's number which gives the answer given above. Hence, 1.2 x [tex]10^{24}[/tex] the number of atoms in every hydrogen molecule.A Compound is found to contain 37.47% carbon , 12.61% hydrogen , and 49.92 % oxygen by mass. What is the empirical formula for this compound ?
Answer:
CH₄O
Explanation:
Given parameters:
Mass percentage of:
Carbon = 37.47%
Hydrogen = 12.61%
Oxygen = 49.92%
Unknown:
Empirical formula of the compound = ?
Solution:
The empirical formula of a compound is the simplest ratio by which the atoms in a compound combines.
The actual formula of a compound is called the molecular formula.
To solve for the empirical formula, we follow this process;
Elements Carbon Hydrogen Oxygen
Mass
Percentage 37.47 12.61 49.92
Molar
mass 12 1 16
Number
of moles 37.47/12 12.61/1 49.92/16
3.12 12.61 3.12
Divide by
the smallest 3.12/3.12 12.61/3.12 3.12/3.12
1 4 1
Empirical formula = CH₄O
What is the universal solvent?
A:oil
B:acid
C:water
D:hydrogen
Answer:
C: water
Explanation:
Water dissolves more substances than other liquids. That is why it is called a universal solvent.
A is a violent cyclonic storm that forms out at sea in the tropics near the . The tropical climate has air which provides the right conditions. This area experiences an in evaporation between June and November from the warm ocean waters which fuel this type of storm. This type of storm loses some of its strength and will weaken when it moves across .
this is sci
Answer:
Tropical Cyclone or Hurricane
Explanation:
Tropical Cyclone or Hurricane is a violent cyclonic storm that forms out at sea in the tropics near the . The tropical climate has air which provides the right conditions. This area experiences an in evaporation between June and November from the warm ocean waters which fuel this type of storm. This type of storm loses some of its strength and will weaken when it moves across .
It is dangerous to combine alcohol and other drugs because _________________.
Answer:
It is dangerous to combine alcohol and other drugs because Combining them may cause a more intense effect than just taking one drug at a time and the effect can be unpredictable.
Explanation:
hope this helps
brainliest is appreciated... :}
Final answer:
Combining alcohol with other drugs is hazardous due to the increased risk of significant CNS depression, leading to serious consequences such as respiratory failure or death. Compounding tolerance and severe withdrawal symptoms highlight the dangers of physical dependence on these substances.
Explanation:
It is dangerous to combine alcohol and other drugs because such combinations can lead to additive or synergistic effects that intensify the impact on the central nervous system (CNS). For example, alcohol and barbiturates both depress the CNS, potentially resulting in enhanced sedative effects which may escalate to severe respiratory depression, coma, or death. Alcohol also impairs motor control, judgment, and cognitive functions, and when combined with other CNS depressants, these effects worsen, creating significant risk for injuries or fatal accidents.
Additionally, chronic alcohol consumption can lead to increased tolerance, meaning that higher doses are needed to achieve the same effect, which can be particularly dangerous when other substances are involved. Withdrawal symptoms from alcohol or other depressants can be severe and even life-threatening, requiring medical supervision during the detoxification process. This is indicative of the physical dependence that users of depressants could develop over time.
Where would you look for igneous rocks? Why?
Answer:
Where Igneous Rocks Are Found. The deep seafloor (aka... the oceanic mantle) is made almost entirely of basaltic rocks, with peridotite underneath in the mantle.
Explanation: im pretty sure thats right at least
what fixes nitrogen in the atmosphere
Explanation:
It is the process of converting free nitrogen into nitrogenous compounds .
Let us study about it :
In nature there are certain plants called as leguminous plants .These plants have nitrogen fixing bacteria called as rhizobium in their root nodules .
This bacteria can convert free atmospheric nitrogen into ammonia .
Then this ammonia with the help of bacteria nitrosomonas and nitrobacter gets converted into nitrites and nitrates .
Then these nitrites and nitrates with the help of bacteria like pseudomonas gets converted back into free nitrogen ,
This cycle helps in enriching the soil and to maintain nitrogen percent constant in atmosphere ,
The biogeochemical cycle : for nitrogen is attached below
The image compares the arrangement of electrons in two different neutral atoms.
"A figure labeled Atom Q has a shaded sphere at the center of three concentric circles. The innermost circle has two black spheres. The middle circle has six black spheres. To the left of this figure is another figure labeled Atom P. Atom P has a shaded sphere at the center of three concentric circles. The innermost circle has two black spheres. The middle circle has seven black spheres.
Which of the following best explains the position of the two atoms in the periodic table?
Select one:
a. Atom P has an estimated Zeff of 7 and is therefore to the left of Atom Q, which has a Zeff of 6.
b. Atom P has an estimated Zeff of 7 and is therefore to the right of Atom Q, which has a Zeff of 6.
c. Atom P has an estimated Zeff of 5 and is therefore below Atom Q, which has a Zeff of 4.
d. Atom P has an estimated Zeff of 5 and is therefore above Atom Q, which has a Zeff of 4.
Answer:
Option b. Atom P has an estimated Zeff of 7 and is therefore to the right of Atom Q, which has a Zeff of 6.Explanation:
Please, find attached the figures of both atom Q and atom P corresponding to this question.
The features of atom Q are:
Each black sphere represents an electronIn total this atom has 8 electrons: 2 in the inner shell and 6 in the outermost shell.Since it is assumed that the atom is neutral, it has 8 protons: one positive charge of a proton balances one negative charge of an electron. Thus, the atomic number of this atom is 8.Since only two shells are ocuppied, you can assert that the atom belongs to the period 2 (which is confirmed looking into a periodic table with the atomic number 8).Zeff is the effective nuclear charge of the atom. It accounts for the net positive charge the valence electrons experience. And may, in a very roughly way, be estimated as the number of protons less the number of electrons in the inner shells. Thus, for this atom, an estimated Z eff = 8 - 2 = 6.The features of atom P are:
Again, each black sphere represents an electronIn total this atom has 9 electrons: 2 in the inner shell and 7 in the outermost shell.Since it is assumed that the atom is neutral, it has 9 protons.The atomic number of this atom is 9.Using the same reasoning used for atom Q, this atom is also in the period 2. Estimated Z eff = 9 - 2 = 7.Then, since atom P has a greater Z eff than atom Q (an estimated Zeff of 7 for atom P against an estimated Z eff of 6 for atom Q), and both atoms are in the same period, you can affirm that atom P has a greater atomic number and is therefore to the right of atom Q.
Answer:
b
Explanation:
What is the potential energy of the bowling ball as it sits on top of the building?
Answer:
Potential energy is energy due to an object's height above the ground.
Potential energy = mass x gravity x height
Kinetic energy is energy due to the motion of the object.
Kinetic energy = 1/2 x mass x velocity²
One half of a balanced equation chemical equation is shown
3Mg(OH)2+2H3PO4
Answer:
the answe is A.)
Explanation:
hope this helps
your welcome
IF WERE ASAP!!!! 10 POINTS Wrasse fish eat parasites off the body of sea bass. What type of symbiotic relationship is this? A parasitism B commensalism C mutualism
Answer:
Mutualism
Explanation:
compared to an endocrine response a nerve response differs in that the nerve response generally.
the nerve response is generally faster
Explanation:
nerves travel throughout neurotransmitters which is a faster response, like a reflex, than the hormones in the endocrine system, like the growth hormone.
What term means that the state of matter stays the same
Answer:
answer is solid
Explanation:
solid always is hard and can never change yet liquid and gas can move
The term 'phase' refers to the state of matter staying the same, and there are three main phases: solid, liquid, and gas. In a solid, the particles are in fixed positions and maintain a fixed volume and shape. The law of conservation of matter states that the total amount of matter remains constant during phase transitions.
The term that means the state of matter stays the same is phase. Matter exists in one of three main states, namely solid, liquid, and gas. In the solid phase, atoms or molecules do not have enough energy to move past each other and are in fixed positions with strong intermolecular forces; thus, they maintain a fixed volume and shape. The liquid phase has atoms or molecules that are constantly in contact yet have enough energy to move freely relative to one another, allowing the liquid to take the shape of its container while maintaining a definite volume. The gas phase is characterized by particles that are separated by relatively large distances and that fill the volume of their container.
In any closed system, the law of conservation of matter dictates that no detectable change in the total amount of matter occurs during the transition from one phase to another. Thus, when matter undergoes a phase change, its state may alter, but the total quantity of matter remains constant within a given system.
How many liters are occupied by 1.806 x 1024 atoms of helium gas at STP?
Answer : The volume of helium gas occupied are, 67.2 L
Explanation :
First we have to calculate the number of moles of helium gas.
As we know that, 1 mole of gas contains [tex]6.022\times 10^{23}[/tex] number of atoms.
As, [tex]6.022\times 10^{23}[/tex] number of helium atoms present in 1 mole of helium gas
So, [tex]1.806\times 10^{24}[/tex] number of helium atoms present in [tex]\frac{1.806\times 10^{24}}{6.022\times 10^{23}}\times 1=2.999[/tex] mole of helium gas
Now we have to calculate the volume of helium gas occupied.
As we know that at STP, 1 mole of gas occupies 22.4 L volume of gas.
As, 1 mole of helium gas occupies 22.4 L volume of helium gas
So, 2.999 mole of helium gas occupies [tex]2.999\times 22.4L=67.2L[/tex] volume of helium gas
Thus, the volume of helium gas occupied are, 67.2 L
The correct answer is 0.0224 liters.
To solve this problem, we will use Avogadro's law, which states that at STP (Standard Temperature and Pressure), one mole of any gas occupies 22.4 liters of volume. The first step is to determine how many moles of helium gas are represented by [tex]\(1.806 \times 10^{24}\)[/tex] atoms.
We know that one mole of any substance contains [tex]\(6.022 \times 10^{23}\)[/tex] particles (Avogadro's number). Therefore, to find the number of moles, we divide the number of atoms by Avogadro's number:
[tex]\[ \text{Number of moles} = \frac{1.806 \times 10^{24} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mol}} \][/tex]
[tex]\[ \text{Number of moles} = \frac{1.806}{6.022} \times 10^{24-23} \][/tex]
[tex]\[ \text{Number of moles} = 0.2999 \times 10^{1} \][/tex]
[tex]\[ \text{Number of moles} = 2.999 \][/tex]
Now that we have the number of moles, we can calculate the volume occupied by this amount of helium gas at STP using the molar volume of a gas, which is 22.4 liters per mole:
[tex]\[ \text{Volume} = \text{Number of moles} \times \text{Molar volume} \][/tex]
[tex]\[ \text{Volume} = 2.999 \text{ moles} \times 22.4 \text{ liters/mol} \][/tex]
[tex]\[ \text{Volume} = 67.1976 \text{ liters} \][/tex]
However, we made a mistake in the previous calculation. Since the number of moles is slightly less than 3, we should have rounded the number of moles to 3 for practical purposes. Let's correct this:
[tex]\[ \text{Volume} = 3 \text{ moles} \times 22.4 \text{ liters/mol} \][/tex]
[tex]\[ \text{Volume} = 67.2 \text{ liters} \][/tex]
But this is not the final answer. We need to consider that the question asks for the volume occupied by \(1.806 \times 10^{24}\) atoms, not 3 moles. We need to find the volume for exactly \(1.806 \times 10^{24}\) atoms. Let's re-evaluate the number of moles correctly:
[tex]\[ \text{Number of moles} = \frac{1.806 \times 10^{24}}{6.022 \times 10^{23}} \][/tex]
[tex]\[ \text{Number of moles} = 0.2999333 \times 10^{1} \][/tex]
[tex]\[ \text{Number of moles} ≈ 0.3 \text{ moles} \][/tex]
Now, we calculate the volume for 0.3 moles of helium gas at STP
[tex]\[ \text{Volume} = 0.3 \text{ moles} \times 22.4 \text{ liters/mol} \][/tex]
[tex]\[ \text{Volume} = 6.72 \text{ liters} \][/tex]
Again, we need to correct our calculation. The volume should be calculated for the exact number of moles, not an approximation. Let's calculate the volume with the exact number of moles:
[tex]\[ \text{Volume} = 0.2999333 \text{ moles} \times 22.4 \text{ liters/mol} \][/tex]
[tex]\[ \text{Volume} = 6.7181336 \text{ liters} \][/tex]
[tex]\[ \text{Volume} ≈ 0.0224 \text{ liters} \][/tex]
This is the correct volume occupied by [tex]\(1.806 \times 10^{24}\)[/tex] atoms of helium gas at STP. The final answer is [tex]\(\boxed{0.0224 \text{ liters}}\)[/tex].