For each of the situations below, state whether it describes erosion, weathering, or possibly both.
Answer:
Erosion
Explanation:
The blowing away of the top layer of the soil at a Michigan farm is best described as scenario that shows wind erosion.
Erosion is the removal of the top layer of the earth on which plant grows. In short is the washing away of soil by stream or blowing away by wind.
When soil is blow away, it is a pure case of erosion. The process of erosion usually follows weathering or sometime occurs together with it.
Weathering is the physical disintegration and chemical decomposition of rocks to form sediments and soils.
Often times, the process of weathering and erosion occurs together. It is loose weathering products that are carried away during erosion.
In the soil layer at Michigan, the process of erosion by wind is current taking place by ablation.
Over the course of two years, there has been change in the concentration the top layer of soil at a Michigan farm due to natural forces, leading to potential agricultural challenges.
Erosion of the topsoil layer at a Michigan farm over two years can have detrimental effects on agricultural productivity and the environment. Topsoil is crucial for plant growth as it contains essential nutrients and organic matter. When it is blown away, as in this scenario, farmers face difficulties in cultivating crops as the soil becomes less fertile and less capable of retaining moisture. This can result in reduced crop yields and increased vulnerability to drought conditions.
Furthermore, the erosion of topsoil can lead to environmental issues such as water pollution, as sediment runoff can contaminate nearby water bodies. Soil conservation practices, such as planting cover crops and implementing erosion control measures, are essential to mitigate these negative consequences and maintain the long-term sustainability of the Michigan farm's agricultural activities.
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How many cups do you need for 4 moles rock salt (NaCl)? Rock salt weighs 520g per 1 cup
How many cups do you need for 1 kg of ice? Ice cubes weigh 220g per 1 cup
Answer :
(1) The number of cups needed are, 0.45 cups.
(2) The number of cups needed are, 5 cups.
Explanation :
Part 1:
First we have to calculate the moles of NaCl.
[tex]\text{Moles of NaCl}=\frac{\text{Mass of NaCl}}{\text{Molar mass of NaCl}}[/tex]
[tex]\text{Moles of NaCl}=\frac{520g}{58.5g/mol}=8.89mol[/tex]
Now we have to calculate the number of cups needed.
As, the number of cups needed for 8.89 mole of NaCl = 1 cups
So, the number of cups needed for 4 mole of NaCl = [tex]\frac{4}{8.89}=0.45[/tex] cups
Thus, the number of cups needed are, 0.45 cups.
Part 2:
Given:
Mass of ice cubes = 1 kg = 1000 g
Now we have to calculate the number of cups needed.
As, the number of cups needed for 220 g of ice = 1 cups
So, the number of cups needed for 1000 g of ice = [tex]\frac{1000}{220}=4.5\approx 5[/tex] cups
Thus, the number of cups needed are, 5 cups.
What is the pressure of 2.0 mol nitrogen (N2) gas in a 0.5 L container at 310
K?
(The universal gas constant is 0.0821 L'atm/mol.K.)
O
O
A. 6.4 atm
B. 100 atm
C. 0.0098 atm
O D. 25 atm
SUBMIT
Answer:
100 atm
Explanation:
Answer:
Option B. 100atm
Explanation:
The following data were obtained from the question:
n = 2moles
V = 0.5L
T = 310K
R = 0.0821 L.atm/mol.K
P =?
The pressure can obtained by doing the following:
PV = nRT
P = nRT /V
P = (2 x 0.0821 x 310)/0.5
P = 100atm
What is the gfm of CO2?
Answer:
44.01 g/mol because its basically the weight
Explanation: 12.0107 + 15.9994*2
The gfm (Gram Formula Mass) or molar mass of CO₂ (Carbon Dioxide) is calculated by adding the atomic masses of its constituents: one Carbon atom (12.01 g/mol) and two Oxygen atoms (32 g/mol). This adds up to 44.01 g/mol.
Explanation:You asked for the gfm (Gram Formula Mass) of CO₂. Gram Formula Mass is another term for molar mass, which is calculated by adding up the atomic masses of all the atoms in the molecule. In the case of CO₂, we have one atom of Carbon and two atoms of Oxygen.
The atomic mass of Carbon (C) is approximately 12.01 g/mol, and that of Oxygen (O) is approximately 16.00 g/mol. Since there are two Oxygen atoms, their combined mass is 2 * 16.00 = 32.00 g/mol.
Adding the atomic masses of Carbon and Oxygen together gives us the total gfm of CO2: 12.01 g/mol (Carbon) + 32.00 g/mol (Oxygen) = 44.01 g/mol (for CO₂).
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The form of energy that is stored in large objects because of its position above the ground is ____________ _________ energy.
Answer:
gravitational potential
Explanation:
Fill in the blanksThe form of energy that is stored in large objects because of its position above the ground is gravitational potencial energy.
Write a chemical equation for the reaction between ammonia and sulfuric acid
Answer:
NH3 + H2SO4 ---> ((NH4)2)SO4 + H2O
Explanation:
This is a common reaction; ammonia and sulfate make ammonium sulfate and the excess hydrogen and oxygen(not part of a polyatomic ion) get into the form of H2O
I hope this helps!
(This can commonly be confused as double replacements but hydrogen is in both reactants.)
A boy makes a small snowball and then pushes it around in the snow to make it bigger. He pushes it at a constant speed as the snowball gets bigger. If the snowball doubles in mass, what will happen to the kinetic energy ( Motion energy) of the snowball?
Answer:
It will decrease
Explanation:
As the snowball gets bigger, the kinetic energy of the body begins to reduce appreciably.
The condition given in this problem is constant speed.
At constant speed, the snowball is not accelerating and there is no external force acting appreciably on the ball.
Now, we know that;
K.E = [tex]\frac{1}{2}[/tex] m v²
m is the mass of the ball
v is the velocity of the ball
In this scenario, the velocity of the ball is constant and not changing. But the mass of the ball begins to increase, eventually, the kinetic energy of the ball will reduce.
The increasing mass without an appreciable increase in velocity will bring the body to rest as a result of increase inertia of the body.
a. Write a balanced chemical equation for this reaction below.
Fe(s) + H2O2(aq) produces FeO3(s) + H2O (l)
Answer:
Fe(s) + 3H2O2(aq) ................. FeO3(s) + 3H2O (l)
Explanation:
Fe(s) + H2O2(aq) ---------------- FeO3(s) + H2O (l)
To balance the equation put coefficient of 3 at back of H2O and H2O2
Fe(s) + 3H2O2(aq) ................. FeO3(s) + 3H2O (l)
To check, the number of atoms of each element on the left must be equal to that of the right.
Element Left. Right
Fe. 1 1
H. 3×2=6 2×3=6
O. 3×2 =6. 3+3 = 6
This shows that the equation is balanced
I hope this was helpful, please mark as brainliest
how to balance Na + FeBr3 →
Hey there!
Na + FeBr₂ → NaBr + Fe
Firstly, balance Br.
Two on the left, one on the right. Add a coefficient of 2 in front of NaBr.
Na + FeBr₂ → 2NaBr + Fe
Next, balance Na.
One on the left, two on the right. Add a coefficient of 2 in front of Na.
2Na + FeBr₂ → 2NaBr + Fe
Lastly, balance Fe.
One on the left, one on the right. Already balanced.
Our final balanced equation:
2Na + FeBr₂ → 2NaBr + Fe
Hope this helps!
How are the layers of Earth's atmosphere grouped?
(A) by similarities in thermal characteristics, chemical composition,
movement, and density
(B) by differences in thermal characteristics, chemical composition,
movement, and density
(c) by similarities in thermal characteristics and chemical composition but
differences in movement and density
(D) by differences in thermal characteristics and chemical composition but
similarities in movement and density
Answer:
B)
Explanation:
The layers of the atmosphere are classified by changes in temperature in accordance with height.
What does a low solubility product constant indicate about a compound?
It conducts electricity in a solution.
It does not dissolve readily.
It readily dissociates in water.
Answer:
It does not dissolve readily.
Explanation:
What pressure will be exerted by 0.57 moles of CO2 at a temperature of 25°C and a volume of 500 ML? _____atm
The pressure exerted by 0.57 moles of CO2 at a temperature of 25°C and a volume of 500 ml is 28 atm.
Explanation:
According to ideal gas law,
PV = nRT
where P represents the pressure of a gas,
V represents the volume of a gas,
n represents the number of moles,
R represents the gas constant = 0.0821 L atm / mol K.
T represents the temperature of a gas.
Given V = 500 ml = 0.5 l, T = 25°C = 298 K, n = 0.57 mol
PV = nRT
P = nRT / V
= (0.57 [tex]\times[/tex] 0.0821 [tex]\times[/tex] 298) / 0.5
P = 28 atm.
The pressure of a gas is 28 atm.
Final answer:
Using the ideal gas law, the pressure exerted by 0.57 moles of CO₂ gas at a temperature of 25°C and a volume of 500 mL is calculated to be 28.56 atm.
Explanation:
To calculate the pressure exerted by 0.57 moles of CO₂ gas at a temperature of 25°C (which is 298K when converted to Kelvin) and a volume of 500 mL (which is 0.5 L), we can use the ideal gas law equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/K·mol), and T is temperature in Kelvin.
To find the pressure (P), we rearrange the equation to P = nRT/V.
n (number of moles) = 0.57 moles R (ideal gas constant) = 0.0821 L·atm/K·mol T (temperature) = 298 K V (volume) = 0.5 LSubstituting the values into the equation we get: P = (0.57 · 0.0821 · 298) / 0.5
Now, we perform the calculation:
P = (0.57 · 0.0821 · 298) / 0.5 = 28.56 atm
Therefore, the pressure exerted by the CO₂ gas is 28.56 atm.
calculate the mass in grams of a single water molecule
Final answer:
The mass of a single water molecule is approximated to be 2.99 × 10^-23 grams, using its molar mass of 18.015 g/mol and Avogadro's number, which indicates the number of molecules in one mole.
Explanation:
To calculate the mass in grams of a single water molecule, we first look at the molar mass of water (H2O) which is 18.015 g/mol. This is because one mole (6.022 × 1023 entities) of water molecules weighs 18.015 grams. The mass of a single water molecule is therefore:
(1 molecule / 6.022 × 1023 molecules/mol) × 18.015 g/mol
Performing the calculation, we find the mass of a single water molecule to be approximately:
(1 / 6.022 × 1023) × 18.015 g
= 2.99 × 10-23 g
The mass of a single water molecule is 2.99 × 10-23 grams.
Which of the following combinations would produce a neutralization reaction?
A. a substance with a pH of 7 and a substance with a pH of 9.
B. a substance with a pH of 2 and a substance with a pH of 10.
C. a substance with a pH of 12 and a substance with a pH of 8.
D. two solutions with the same pH levels.
Explain please, i don't want rushed answers
Answer:
it is option b
Explanation:
this is because neutralisation reaction takes place only between a base and an acid.
now, in OPTION A it is a neutral and base
OPTIONB it is acid and base
OPTION C both are base
OPTION D IT IS NOT POSSIBLE
A neutralization reaction involves an acid and a base, with pH levels generally below and above 7 respectively. To identify a combination that would result in such a reaction, we require an acidic and a basic substance. Thus, the correct combination would be option B: a substance with a pH of 2 (acid) and a substance with a pH of 10 (base).
Explanation:The subject in question pertains to neutralization reactions in chemistry. A neutralization reaction typically involves a strong acid and a strong base reacting to form water and a type of salt. The pH scale measures how acidic or basic a solution is, and ranges from 0 to 14. If we remember that a pH of 7 is neutral, acids are typically represented with a pH less than 7, and bases are represented with a pH greater than 7, we can use that to find our answer.
Based on these principles, options A and C wouldn't yield a neutralization reaction because they both involve a neutral or basic substance with another base. Option D does not guarantee a neutralization reaction either as the two solutions could be both acidic or basic. Therefore, the correct choice would be option B: a substance with a pH of 2 (which would be an acid) and a substance with a pH of 10 (which would be a base). The acid-base combination would result in a neutralization reaction.
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name the metal with valency 3
Gallium, because is a post-transition metal
To what pressure must a gas be compressed in order to get into a 3.00 cubic foot tank
the entire weight of a gas that occupies 400.0 cu. ft. at standard pressure?
Answer:
101333.33mmHg
Explanation:
The following were obtained from the question:
P1 = at stp = 760mmHg
V1 = 400.0cu.ft
V2 = 3cu.ft
P2 =?
Using Boyle's law equation, we obtained:
P1V1 = P2V2
760 x 400 = P2 x 3
Divide both side by the 3
P2 = (760 x 400) /3
P2 = 101333.33mmHg
The gas must b compressed to a pressure of 101333.33mmHg
How much power was used by a cyclist when it took them 2.5 hours to finish their race. The cyclist exerted a force of 32N and the race was 75km long. Must convert km to m prior to calculations. Must show all work, have correct sig figs, and include correct units for full credit.
Answer:
266.67 J/s
Explanation:
Work is said to be done when a force is applied to a certain object. It is given by the expression:
Workdone = Force × distance
However, the power (P) is the quantity or amount of work-done per time which is mathematically expressed as:
P = [tex]\frac{Workdone}{time}[/tex]
Given that:
time = 2.5 hours = (2.5 × 3600) seconds = 9000 seconds
Force = 32 N
distance = 75 km = (75 × 1000) m = 75, 000 m
∴ Workdone = 32 × 75, 000
Workdone = 2,400,000 Joules
Power = [tex]\frac{2,400,000}{9000}[/tex]
Power = 266.67 J/s
Answer:
Explanation:
Given:
Force, f = 32 N
Distance, d = 75 km
1 km = 1,000 m
75 km × 1000 m/1 km
= 75,000 m
Time, t = 2.5 hours
60 secs = 1 min
60 mins = 1 hour
2.5 hours × 60 mins/ 1 hour × 60 sec/1 min
= 9,000 secs
Power = energy/time
Energy = force × distance
Power = (32 × 75,000)/9,000
= 266.67 W
time that is measured in definite periods such as minutes, day,and years is called
Answer:
1. relative time
2.absolute time
Explanation:
Time that is measured in definite periods such as minutes, days, and years is called
a. Relative time.
b. absolute time.
A baseball is thrown high into the air. As it travels upwards it loses speed and slowly comes to a stop high above the grove what is it converting to
Answer:
Potential energy
Explanation:
The thrown baseball is converting from kinetic energy into potential energy. When it finally stops at a particular height, it attains its maximum potential energy at the position or point.
Potential energy is the energy at rest of body. Kinetic energy is the energy due to the motion of body.The more a body speeds, the higher its kinetic energy attained.
As a body comes to rest, at a height, it attains potential energy.
The body during flight decreases in kinetic energy but increases its potential energy due to gravity pulling it to rest.
The answer is Potential Energy.
Reasoning:
The thrown baseball is converting from kinetic energy into potential energy. When it finally stops at a particular height, it attains its maximum potential energy at the position or point. Potential energy is the energy at rest of body. Kinetic energy is the energy due to the motion of body. The more a body speeds, the higher its kinetic energy attained. As a body comes to rest, at a height, it attains potential energy. The body during flight decreases in kinetic energy but increases its potential energy due to gravity pulling it to rest.
Why corrosion of aluminum is an advantage for the metal and why the corrosion of iron a serious problem
Answer:a
Explanation: duh man
Answer:
To answer your first question, when the outer layer of aluminum interacts with oxygen, it forms an aluminum oxide layer that is passive. While the outer layer corrodes, it provides a protective coating that protects the inner layer from further deterioration. As a result, aluminum corrosion is beneficial.
To answer your second question, corrosion of iron is a serious problem because almost all things in our civilization is made of iron or one of its alloys, from automobiles to homes, tools to prosthetics.
When you look back at the past of corrosion research, you'll notice that it all began with the question "why does iron rust?" The most powerful organization of corrosion engineers, NACE, crunched the numbers, and the total amount of iron (only in the United States) is in the billions!
When you consider how inexpensive iron is in comparison to other metals, you can see why it is so widely used; and when you consider all of the developments in metallurgy over the last century, you can see how scientists have worked to improve its sturdiness: new alloys with improved corrosion resistance and strength; treatments to postpone corrosion and even attempt to replace it.
Explanation:
I deeply apologize if this is a late or overdue answer. I also hope this answers your original question and if it doesn't, I deeply apologize.
Other than that, I hope this was helpful and I hope you have a pleasant evening :)
the blank is a structure in a cell that contains information that controls a cells function
Answer:
The nucleus
Explanation:
The nucleus controls the metabolic functions of the cell by producing mRNA which encodes for enzymes e.g. insulin. The nucleus controls the structure of the cell by transcribing DNA which encodes for structural proteins such as actin and keratin.
1. What is the mass of 25.0 L of neon at STP?
Answer: m= 22.2 g Ne
Explanation: First find the moles of Ne using Ideal Gas Law and derive for n. So from PV= nRT the mole is derived as n = PV /RT
n = PV / RT
= 1 atm ( 25 L ) / 0.0821 L.atm /
mole.K ( 273 K )
= 1.11 moles Ne
Convert it to mass using the molar mass of Neon
1.11 moles Ne x 20 g Ne / 1 mole Ne
= 22.2 g Ne
Final answer:
The mass of 25.0 L of neon at STP is approximately 22.43 grams, calculated by using the molar volume of a gas at STP and the molar mass of neon.
Explanation:
To calculate the mass of neon at standard temperature and pressure (STP), we can use the molar mass of neon and the ideal gas law. At STP, one mole of any ideal gas occupies 22.4 L. Since we are given the volume of neon gas as 25.0 L, we can calculate the number of moles (n) of neon first:
n = Volume / Molar Volume at STP
n = 25.0 L / 22.4 L mol⁻¹ = 1.116 mol
The molar mass of neon (Ne) is approximately 20.11 g mol⁻¹. We use the calculated moles to find the mass:
mass = n × molar mass
mass = 1.116 mol × 20.11 g mol⁻¹ = 22.43 g
So, the mass of 25.0 L of neon at STP is approximately 22.43 grams.
Enter a chemical equation for NaOH(aq) showing how it is an acid or a base according to the Arrhenius definition. Consider that strong acids and bases dissociate completely.
Answer:
NaOH(aq) is a Base.
Explanation:
Those substances which give or release [tex]OH^{-}[/tex] ions in aqueous solution are called as the Arrhenius Bases.
In the aqueous solution, NaOH dissociates as follows -
[tex]NaOH^{}[/tex] ↔ [tex]Na^{+} + OH^{-}[/tex]
If it reacts with a strong acid HCl, the chemical equation for this reaction will be as follows -
[tex]HCl + NaOH = NaCl + H_{2} O[/tex]
The chemical equation that shows how NaOH is a base according to the Arrhenius definition is
NaOH(aq) → Na⁺(aq) + OH⁻(aq)
According to Arrhenius definition
An acid any substance that ionizes when it dissolves in water to give the hydrogen ion (H⁺) A base is any substance that ionizes when it dissolves in water to give the hydroxide ion (OH⁻)Now, we will write a chemical equation that shows the dissociation of NaOH in water.
The chemical equation for the dissociation of NaOH in water is
NaOH(aq) → Na⁺(aq) + OH⁻(aq)
Since, NaOH dissociates in water to the hydroxide ion (OH⁻), then it is a base according Arrhenius definition.
Hence, the chemical equation that shows how NaOH is a base according to the Arrhenius definition is
NaOH(aq) → Na⁺(aq) + OH⁻(aq)
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4) How many grams are there in 7.40 moles of AgNO37
Answer:
1258 grams of AgN03
Explanation:
We calculate the weight of 1 mol of AgN03:
Weight 1 mol AgN03= Weight Ag + Weight N +( Weight 0)x3=108g+ 14g+16gx3=170 g/mol
1 mol----170 g AgN03
7,4mol---x= (7,4 mol x170 g AgN03)/1 mol=1258 g AgN03
Plants grow in many different shapes and sizes. Much of their shape depends on an internal structure that is composed of carbon-containing molecules such as cellulose and lignin. Plants that have a strong internal structure can grow larger than other plants because their structure can support their size.
Plants obtain the majority of the carbon necessary for building these structural molecules from —
A) air
B) microorganisms
C) soil
D) water
Answer:
A. Air
Explanation:
Lignin which has a glucos link is a unique hydrocarbon comprising 8-20% of the cell wall of plants. It is a complex, dense, amorphous, secondary cell wall polymer found in the trachea elements and sclerenchyma of terrestrial plants.
Since plant absorbs carbon dioxide from air to form glucose and hence, starch; That is the source of carbon to build other macromolecules.
Water which it absorbs from soil is not of carbon content neither do plant take in microorganisms.
Plants obtain the majority of the carbon necessary for building these structural molecules from air
General, plants that have a very strong internal structure can grow larger than other plants because their structure can support their size. They absorbs carbon dioxide from air to form those carbon-containing molecules
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A simple of helium measuring 6L was kept at a pressure is of 1.5 atm ,if pressure is doubled what would be its new volume ?
Answer:
3L
Explanation:
The following data were obtained from the question:
V1 (original volume) = 6L
P1 (original pressure) = 1.5 atm
P2 (new pressure) = 2 x P1 ( since the new pressure is doubled)
P2 = 2 x 1.5
P2 = 3 atm
V2 (new volume) =?
Using the Boyle's law equation P1V1 = P2V2, the new volume can be obtain as follow:
P1V1 = P2V2
1.5 x 6 = 3 x V2
Divide both side by 3
V2 = (1.5 x 6)/3
V2 = 3L
From our calculations, the new volume will be half the original volume and this will be 3L
Room has a dimension of 10ft x 20 ft x 8 ft. What is the volume of the room in cubic yards if 1 yard = 3ft
Answer:
1600/27 cubic yards
Explanation:
Convert each of the dimensions into yards, getting 10/3, 20/3, and 8/3. Multiply them all to get 1600/27
is li3n ionic or covalent
Final answer:
Li3N, or lithium nitride, is primarily an ionic compound formed by the transfer of electrons from lithium to nitrogen, resulting in Li+ cations and N3- anions.
Explanation:
The compound Li3N (lithium nitride) is primarily considered to be ionic in nature. Lithium (Li), being in Group 1 of the periodic table, is a metal, and nitrogen (N2), being in Group 15, is a nonmetal. The electronegativity difference between them is significant, which leads to the formation of ionic bonds as lithium donates electrons to nitrogen, forming cations (Li+) and an anion (N3-). Although lithium can form polar covalent bonds due to its high charge density and the polarizing effect it has on its bonding partners, in the case of lithium nitride, the overwhelmingly dominant type of bonding is ionic.
While lithium can form more covalent type bonds in organometallic compounds, when combined with a nonmetal such as nitrogen, the result is an ionic compound. It is important to consider that while the distinction between ionic and covalent bonds is taught, in reality, there is often a continuum with many compounds exhibiting characteristics of both ionic and covalent bonding. However, based on lithium nitride's composition and attributes, it falls closer to the ionic side of the spectrum.
In an endothermic reaction, gaseous water decomposes to form hydrogen and oxygen gas.
2H2O (g) ----> 2H2 (g) + O2 (g) ∆H = 483.6 kJ
If the ∆H decreases to 241.8 kJ, how many grams of gaseous water decomposed?
Answer:
18 g of gaseous water
Explanation:
We are given the equation;
2H2O (g) ----> 2H2 (g) + O2 (g) ∆H = 483.6 kJ
We are required to determine the mass of gaseous water decomposed when the amount of heat absorbed is 241.8 kJ.
From the equation;
2 moles of water are decomposed when 483.6 kJ is absorbed
Therefore;
241.8 kJ will be absorbed to decompose;
= (2 × 241.8 kJ) ÷ 483.6 kJ
= 1 mole
But; molar mass of water is 18 g /mol
Therefore;
Mass of gaseous water decomposed is 18 g
1a. A spring takes a force of 5.ON to extend it by 2.0cm. What is the spring
constant in N/m?
Answer:
Use Hooke's law
Explanation:
Apply formula: F = kxSub values in: 5 = 0.02kUse algebra: k = 250The spring constant is 250 N/mA sample of water drops from an initial temperature of 67.5 C to a final temperature of 25.2 C. If -4425 J of heat were released from this sample of water, what is the mass of the sample?
Answer:
mass = 25.03 g
Explanation:
Given data:
Initial temperature = 67.5°C
Final temperature = 25.2°C
Heat released = -4425 j
Mass of water = ?
Solution:
Specific heat capacity:
It is the amount of heat required to raise the temperature of one gram of substance by one degree.
Formula:
Q = m.c. ΔT
Q = amount of heat absorbed or released
m = mass of given substance
c = specific heat capacity of substance
ΔT = change in temperature
ΔT = 25.2°C - 67.5°C
ΔT = -42.3°C
Specific heat of water = 4.18 j/g.°C
Q = m.c. ΔT
-4425 j = m × 4.18 j/g.°C × -42.3°C
-4425 j = m × -176.81 j/g
m = -4425 j / -176.81 j/g
m = 25.03 g
The mass of the sample of water is approximately 250 grams.
To find the mass of the water sample, we can use the formula for the heat released or absorbed by a substance undergoing a temperature change:
[tex]\[ q = m \cdot c \cdot \Delta T \][/tex]
where:
[tex]- \( q \)[/tex] is the heat released or absorbed (in joules),
[tex]- \( m \)[/tex] is the mass of the substance (in grams),
[tex]- \( c \)[/tex] is the specific heat capacity of the substance (in joules per gram per degree Celsius),
[tex]- \( \Delta T \)[/tex] is the change in temperature (in degrees Celsius).
For water, the specific heat capacity [tex]\( c \)[/tex] is approximately [tex]\( 4.184 \, \text{J/g}^\circ \text{C} \)[/tex].
Given:
[tex]- \( q = -4425 \, \text{J} \)[/tex] (the negative sign indicates heat is released),
[tex]- \( \Delta T = 67.5^\circ \text{C} - 25.2^\circ \text{C} = 42.3^\circ \text{C} \),[/tex]
[tex]- \( c = 4.184 \, \text{J/g}^\circ \text{C} \).[/tex]
We can rearrange the formula to solve for [tex]\( m \)[/tex]:
[tex]\[ m = \frac{q}{c \cdot \Delta T} \][/tex]
Now, plug in the values:
[tex]\[ m = \frac{-4425 \, \text{J}}{4.184 \, \text{J/g}^\circ \text{C} \cdot 42.3^\circ \text{C}} \] \[ m = \frac{-4425}{4.184 \times 42.3} \] \[ m \approx \frac{-4425}{177.3172} \] \[ m \approx -25 \][/tex]
Since mass cannot be negative, we take the absolute value of the result:
[tex]\[ m \approx 250 \, \text{g} \][/tex]
Therefore, the mass of the sample of water is approximately 250 grams.