The biopsychosocial perspective, compared with the perspectives of Freud, Jung, and Rogers, __________.

Answer:  A  Explanation:

To find the mass of the copper sample, we use the formula for heat transfer Q = mcΔT. By substituting the given values of specific heat capacity of copper, the amount of heat applied and the change in temperature into the formula and solving for mass, we find the mass of the copper sample to be 29.54g.

The subject of this question is physics, specifically dealing with the concept of heat transfer. To determine the mass of the copper sample, we'll use the formula for heat transfer: Q = mcΔT, where 'Q' is the amount of heat transferred, 'm' is the mass of the substance, 'c' is the specific heat capacity, and 'ΔT' is the change in temperature.

In this case, we know that the specific heat capacity of copper is 0.39 J/g °C, the amount of heat applied (Q) is 265 J and the change in temperature ΔT is 23.0 °C. By substituting these values into the formula, we can solve for 'm' (mass). Rearranging the formula gives us m = Q / (cΔT). Substituting the given values, we find m = 265 J / (0.39 J/g°C * 23.0°C) gives us the mass of the copper sample to be 29.54 g.

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Answer:

D. remain unchanged

Explanation:

A Zero-order reaction is defined as a chemical reaction wherein the rate doesn't vary with the increase or decrease in the concentration of the reactants.

Thus, If you double the concentration of that reactant, the reaction rate will:

D. remain unchanged

I hope it helps!

The surface area expressed in square feet of a single face of a pile is 1.45 square feet.

Explanation:

The dimensions of the pillar are given as 14 in [tex]\times[/tex] 14 in

(1 feet = 12 inch)

According to the pillar dimensions mentioned in the problem, the length of the pillar should be 15 inches, height by 14 inches and the width by 14 inches.

There will be two surface areas of the concrete pile, one implies side surface area and the other is end surface area.

For calculating the side surface area,

Area of the side surface = 14 in [tex]\times[/tex] 15 in

                                         = [tex]14 in.[/tex] [tex]\times[/tex]  [tex]\frac{1 ft.}{12 in.}[/tex]

                                         = 1.16 [tex]\times[/tex] 1.25

                                         = 1.45 square feet.

(In the given question, only a single face is asked so there is no need to find the surface area of the end face.)

The surface area of the side face of the given pile is 1.45 ft². The surface area is the area of all surfaces in a 3D object such as a pillar, ball, etc.

The surface area is the area of all surfaces in a 3D object such as a pillar, ball, etc.

A pillar has two types of faces, side face and end phase with dimensions 14x14 and 14x15.

The dimentions of the pile,

Length - 14 inches = 1.16  ft

Width - 14 inches = 1.16  ft

height - 15 inches = 1.25 ft.

So, the surface area of a side face will be

As = 1.16  ft x  1.25 ft

As = 1.45 ft²

Therefore, the surface area of the side face of the given pile is 1.45 ft².

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Answer: The given statement is true.

Explanation:

Boiling point is defined as the point at which vapor pressure of a substance becomes equal to atmospheric pressure. During this point, the liquid changes into vapor state and temperature remains constant till all the liquid changes into vapor state.

Vapor pressure is defined as the pressure exerted by vapors or gas on the surface of a liquid.

Thus, we can conclude that the statement if the vapor pressure of a liquid is less than the atmospheric pressure, the liquid will not boil, is true.

Answer:

C. Infinitely Many Solutions

Explanation:

No solution case : This is the case when all given variables are not equal to any constant, for example: there is one row of zeros in matrix e.g 0=3. matrix B don't have any zero row. So, Not True.

One Solution case: This is the case when all variables are independent variables like if they are equal to some constant. e.g x=1,y=2,z=4 , Matrix B have more than one variable in first row due to which it made equation look like x+y=-5. so matrix B can't have only one solution. So, Not True.

Infinitely Many Solutions case: when there is one or more variables which is not equal to any constant and acting as linearly dependent variable, then that matrix have infinite solutions. Matrix B have that variable which is linearly dependent as show in the attachment solution. So, True.  

Answer:

The correct answer is B. exogenous

Explanation:

Let us try to describe exogenous and endogenous variables an exogenous variable value is influenced only by factors outside a model or system and is forced onto the model, while a change in an exogenous variable is known as an exogenous change. Also an endogenous variable is one whose value is influenced only by the system or model under study.

Answer:

The correct answer is Dust

Explanation

Dust is a dry dirt in powder form usually found on surfaces of items in a building, it comprises of very small particles of soil, sand and sometimes includes toxic substances, skin cells,bacteria, soil particles, particles of clothing material, tiny pieces of dead insects and pollen

Answer: Dust

Explanation:

Dust is a solid matter with fine particles, it mostly hangs in the atmosphere and are produced from various sources such as pollutions, loose soil which are lifted through aeolian process. Continuous exposure to dust in house holds or work place can make someone sick and affect one's health. Apart from that, it also reduces comfort and can even affect the efficient functioning of home or office appliances and gadgets.

Volume of the gas at 300K will be 525l itres.

According to Charles' law, the volume of a gas is inversely proportional to its absolute temperature when the pressure of the gas is constant.

Here the V/T is given to be constant and equal to 1.75.

The temperature of the gas = T = 300K.

Let the volume of the gas be V liters.

So according to the question,

V  / T = 1.75.

So,V / 300 = 1.75.

So, V = 300 × 1.75.

Or, V = 525 litres.

So, the volume of the gas at 300K will be 525 litres.

The Volume of the gas at 300K will be 525l liters.

As per Charles' law, the volume of gas should be inversely proportional to the absolute temperature at the time when the pressure of the gas is constant.

Here the V/T should be constant and equivalent to 1.75.

The temperature of the gas = T = 300K.

Also, we assume that the volume of the gas is V liters.

So,

V  / T = 1.75.

V / 300 = 1.75.

V = 300 × 1.75.

V = 525 litres.

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The osmotic pressure of a solution formed by dissolving 44.3 mg of aspirin in 0.358 L of water at 25 ∘C is 0.01633 atm. This is calculated using the formula for osmotic pressure 'Pi = n/V RT', inserting the required values including the mole of aspirin, the volume, the gas constant, and temperature.

To calculate the osmotic pressure, we need to use the formula Pi = n/V RT, where 'n' is the number of moles of the solute, 'V' is the volume in liters, 'R' is the gas constant (0.08206 L atm/mol K), and 'T' is the temperature in Kelvin. Firstly, we need to find the molar mass of aspirin (C9H8O4) which is approximately 180.16 g/mol. Consequently, we can determine the mole of aspirin used as 44.3 mg / 180.16 g/mol = 0.000246 moles. Now knowing all values, plug them into the formula: Pi = 0.000246 moles /0.358L * 0.08206 atm mol^-1K^-1 * 298.15K which equals 0.01633 atm, the osmotic pressure of the solution.

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For the osmotic pressure of an aspirin solution, first convert the mass of aspirin to moles, find the molarity, convert the temperature to Kelvin, and then apply the osmotic pressure formula. The osmotic pressure is found to be approximately 0.0168 atm.

The question asks to determine the osmotic pressure of a solution containing aspirin at a certain temperature. The osmotic pressure can be calculated using the formula:

\(\Pi = MRT\)

Where:

\(\Pi\) is the osmotic pressure,

\(M\) is the molarity of the solution (moles of solute per liter of solution),

\(R\) is the gas constant (0.0821 L atm K^{-1} mol^{-1}), and

\(T\) is the temperature in Kelvin.

First, convert the mass of aspirin to moles using the molecular weight of aspirin (C9H8O4), which is 180.16 g/mol:

\(44.3 mg = 0.0443 g\)

\(0.0443 g \times \dfrac{1 mol}{180.16 g} \approx 2.46 \times 10^{-4} mol\)

Next, find the molarity \(M\) by dividing the number of moles by the volume in liters:

\(M = \dfrac{2.46 \times 10^{-4} mol}{0.358 L} \approx 6.87 \times 10^{-4} M\)

Now convert the temperature to Kelvin:

\(T = 25 \degree C + 273.15 = 298.15 K\)

Finally, calculate the osmotic pressure:

\(\Pi = (6.87 \times 10^{-4} M)(0.0821 L atm K^{-1} mol^{-1})(298.15 K)\)

\(\Pi \approx 0.0168 atm\)

Therefore, the osmotic pressure of the aspirin solution is approximately 0.0168 atm.

Answer:

1

Explanation:

Trigonal planar geometry is shown by the compounds where hybridization of central atom is [tex]sp^2[/tex].

In [tex]sp^2[/tex] hybridization, three hybrid orbitals are equally spaced at an angle of 120°.

Some of the compounds having [tex]sp^2[/tex] hybridization are [tex]CO_3^{2-}[/tex], [tex]SO_3[/tex], etc

In [tex]sp^2[/tex] hybridizationm, one s-orbital and 2 p-orbitals are involved.

Total no. of orbitals present in p-subshell is 3.

As 2 is involved in [tex]sp^2[/tex] hybridization, therefore no. of unhybridized orbital in [tex]sp^2[/tex] hybridization is 1.

Answer:

person’s velocity at this point = 1.535m/s

Explanation:

The detailed steps and appropriate substitution is as shown in the attachment.

Answer:

The answer to your question is below

Explanation:

Reaction

           N₂ + 3H₂   ⇔   2 NH₃ + energy

a) The concentration of NH₃, if the concentration of NH₃ increases, the reaction will move to the left.

b) Diminishing the temperature, no more energy will be released and the reaction will move to the reactants.

Answer:

d. Hydrophobic molecules are attracted to each other.

Explanation:

The term “hydrophobic effect” is associated with the spontaneous tendency of macromolecules, such as proteins, to prefer a conformation in an aqueous medium, with hydrophobic groups facing the interior of the mac romolecule, favoring attractive intramolecular interactions, and hydrophilic groups exposed on the surface, for maximize interactions with water molecules in the medium. This is because the hydrophobic molecules are attracted to each other, allowing them to turn inward.

Answer:

The given statement is false.

Explanation:

Endothermic reactions are defined as the reactions in which energy of products is more than the energy of the reactants. In these reactions, energy is absorbed by the system.

The total enthalpy of the reaction [tex](\Delta H)[/tex] comes out to be positive.

Exothermic reactions are defined as the reactions in which energy of reactants is more than the energy of the products. In these reactions, energy is released by the system.

The total enthalpy of the reaction [tex](\Delta H)[/tex] comes out to be negative.

Answer:

1.5e+8 atoms of Bismuth.

Explanation:

We need to calculate the ratio of the diameter of a biscuit respect to the diameter of the atom of bismuth (Bi):

[tex] \\ \frac{diameter\;biscuit}{diameter\;atom(Bi)}[/tex]

For this, it is necessary to know the values in meters for any of these diameters:

[tex] \\ 1m = 10^{3}mm = 1e+3mm[/tex]

[tex] \\ 1m = 10^{12}pm = 1e+12pm[/tex]

Having all this information, we can proceed to calculate the diameters for the biscuit and the atom in meters.

1 atom of Bismuth = 320pm in diameter.

[tex] \\ 320pm*\frac{1m}{10^{12}pm} = 3.20*10^{-10}m[/tex]

[tex] \\ 51mm*\frac{1}{10^{3}mm} = 51*10^{-3}m = 5.1*10^{-2}m [/tex]

How many times is the diameter of an atom of Bismuth contained in the diameter of the biscuit? The answer is the ratio described above, that is, the ratio of the diameter of the biscuit respect to the diameter of the atom of Bismuth:

[tex] \\ Ratio_{\frac{biscuit}{atom}}= \frac{5.1*10^{-2}m}{3.20*10^{-10}m}[/tex]

[tex] \\ Ratio_{\frac{biscuit}{atom}}= \frac{5.1}{3.20}\frac{10^{-2}}{10^{-10}}\frac{m}{m}[/tex]

[tex] \\ Ratio_{\frac{biscuit}{atom}}= \frac{5.1}{3.20}\frac{10^{-2}}{10^{-10}}\frac{m}{m}[/tex]

[tex] \\ Ratio_{\frac{biscuit}{atom}}= 1.5*10^{-2+10}[/tex]

[tex] \\ Ratio_{\frac{biscuit}{atom}}= 1.5*10^{8}=1.5e+8[/tex]

In other words, there are 1.5e+8 diameters of atoms of Bismuth in the diameter of the biscuit in question or simply, it is needed to put 1.5e+8 atoms of Bismuth to span the diameter of a biscuit in a line.

Answer:

1) Gas and Liquid

Explanation:

hope it helps

Answer:

Explanation:

Sodium chloride consits of sodium cations (positive ions), Na⁺, and chloride anions (negative ions), CL⁻.

Pure sodium chloride is packed in crystals: sodium ions and chloride ions are packed together and the ions are in fixed positions. There are not free electrons that can move. Thus, sodium chloride doesn't conduct electricity, because there are no electrons or ions which are free to move.

In aqueous solution, sodium chloride units dissociates into their ions:

         [tex]NaCl\rightarrow Na^++Cl^-[/tex]

Those ions are freely to move in the solution, and such they are charge carriers, which conduct the electricity.

As explained above, in solid sodium chloride, the ions cannot move and there is not flow of current.

That is why solid pure salt of NaCl does not conduct electricity and the solutions of NaCl do conduct electricity.

The image attached show both diagrams. In the diagram A, the ions are packed together, showing that they cannot move. In the diagram B, the ions are dissolved in water, showing that they can move and carry the charge, allowing the flow of current.

Answer : The density of iron is, 7.8 g/mL

Explanation : Given,

Mass of iron = 4.7 g

Volume of water = 27.10 mL

Volume of water and iron = 27.70 mL

First we have to calculate the volume of iron.

Volume of iron = Volume of water and iron - Volume of water

Volume of iron = 27.70 mL - 27.10 mL

Volume of iron = 0.6 mL

Now we have to calculate the density of iron.

[tex]\text{Density of iron}=\frac{\text{Mass of iron}}{\text{Volume of iron}}[/tex]

Now put all the given values in this expression, we get:

[tex]\text{Density of iron}=\frac{4.7g}{0.6mL}[/tex]

[tex]\text{Density of iron}=7.8g/mL[/tex]

Thus, the density of iron is, 7.8 g/mL

Answer:

He responded by saying their business definition was far too narrow.

Explanation:

Williams Bryan relates the battle for free silver with the revolution in the United States.

His iconic "Cross of Gold" address ignited the Democratic National Convention in 1896 where he begged the american people not to be "crucified on the cross of gold." He was said this because of the Republicans plan to introduce a firm gold standard and abolish silver coinage.

Answer:

molar mass is [tex]6.39\times10^3\ g/mol[/tex]

Explanation:

Osmotic pressure is related with concentration as follows:

[tex]\pi =CRT[/tex]

Where, C is concentration or molarity , R is gas constant and T is temperature.

Osmostic pressure given is 0.0766 atm

R is [tex]0.0821 L \ atm \ K^{1}mol^{-1}[/tex]

T = 25 + 273 = 298 K

Rearrange the above equation to calculate concetration of the solution as follows:

C = P/RT

[tex]C=\frac{0.0766}{0.0821 \times 298} \\=0.00313\ M[/tex]

molarity = moles/volume in L

moles = molarity × volume in L

volume = 5.00 mL = 0.005 L

moles = 0.00313 × 0.005

           =[tex]1.565 \times 10^{-5}[/tex]

[tex]molar\ mass=\frac{mass\ in\ g}{moles} \\=\frac{0.1\ g}{1.565\times 10^{-5}mol} \\=6.389\times 10^3\ g/mol\\[/tex]

Therefore, molecular mass of protein is [tex]6.39\times10^3\ g/mol[/tex]

Answer:

The answer to this can be arrived at by clculating the mole fraction of atoms higher than the activation energy of 10.0 kJ by pluging in the values given into the Arrhenius equation. The answer to this is 20.22 moles of Argon have energy equal to or greater than 10.0 kJ

Explanation:

From Arrhenius equation showing the temperature dependence of reaction rates.

[tex]K = Ae^{\frac{Ea}{RT} }[/tex] where

k = rate constant

A = Frequency or pre-exponential factor

Ea   =       energy of activation

R = The universal gas constant

T = Kelvin absolute temperature

we have

[tex]f = e^{\frac{Ea}{RT} }[/tex]

Where

f = fraction of collision with energy higher than the activation energy

Ea = activation energy = 10.0kJ = 10000J

R = universal gas constant = 8.31 J/mol.K

T = Absolute temperature in Kelvin = 400K

In the Arrhenius equation k = Ae^(-Ea/RT), the factor A is the frequency factor and the component e^(-Ea/RT) is the portion of possible collisions with high enough energy for a reaction to occur at the a specified temperature  

Plugging in the values into the equation relating f to activation energy we get

[tex]f = e^{\frac{10000J}{(8.31J/((mol)(K)))(400K)} }[/tex] or f = [tex]e^{3.01}[/tex] = 20.22 moles of argon have an energy of 10.0 kJ or greater

The question asks for the fraction of argon atoms at 400 K with an energy of 10.0 kJ or higher, which would require integrating the Maxwell-Boltzmann distribution, but key information is missing for a definitive answer.

To calculate the fraction of argon atoms in a gas sample at 400 K with an energy of 10.0 kJ or greater, the principles of statistical mechanics and the Maxwell-Boltzmann distribution are applied. The Maxwell-Boltzmann distribution gives the fraction of particles at a certain energy level within a system at thermal equilibrium. However, we are missing some key information like the Maxwell-Boltzmann distribution function for the particular conditions set by the question, which is essential for performing such a calculation.

Typically, the calculation would require integrating the partition function over all energy states equal to or greater than 10.0 kJ. Without the exact form of the energy distribution, it is not possible to provide an accurate answer. The question pertains to a high level of physical chemistry or statistical mechanics typically studied at the college or university level.

Answer : The amount of heat required is, [tex]1.004\times 10^6J[/tex]

Explanation :

Formula used :

[tex]q=m\times c\times (T_{final}-T_{initial})[/tex]

where,

q = heat required = ?

m = mass of water = 30.0 kg = 3000 g

c = specific heat of water = [tex]4.184J/g^oC[/tex]

[tex]T_{final}[/tex] = final temperature = [tex]95^oC[/tex]

[tex]T_{initial}[/tex] = initial temperature = [tex]15^oC[/tex]

Now put all the given values in the above formula, we get:

[tex]q=3000g\times 4.184J/g^oC\times (95-15)^oC[/tex]

[tex]q=1004160J=1.004\times 10^6J[/tex]

Thus, the amount of heat required is, [tex]1.004\times 10^6J[/tex]

Final answer:

To raise the temperature of 30.0 kg of water from 15°C to 95°C, 10,041,600 joules of heat energy are required. This is calculated using the product of the mass of the water, the specific heat capacity of water, and the change in temperature.

Explanation:

The amount of heat transfer required to change the temperature of a substance can be calculated using the formula Q = mcΔT, where Q is the heat energy in joules, m is the mass of the substance in kilograms, c is the specific heat capacity (for water it's 4,184 J/kg/°C), and ΔT is the change in temperature in degrees Celsius.

For the given problem of raising the temperature of 30.0 kg of water from 15°C to 95°C, the temperature change (ΔT) is 95°C - 15°C = 80°C. The calculation would be as follows: Q = (30.0 kg) × (4,184 J/kg/°C) ×(80°C).

Calculation:

Therefore, the heat required is 10,041,600 joules.

Answer: solution

Explanation:

Final answer:

To prepare a 0.0150 M solution of strontium nitrate in 2.000 L, you would need to use 4.49 grams of strontium nitrate.

Explanation:

To calculate the mass of strontium nitrate required to prepare the solution, we can use the formula:

moles = concentration x volume

First, convert the concentration to moles per liter:

moles/liter = concentration = 0.015 M

Next, multiply the moles per liter by the volume in liters to find the moles of strontium nitrate:

moles = (0.015 M) x (2.000 L) = 0.030 mol

Finally, calculate the mass of strontium nitrate using the molar mass:

mass = moles x molar mass = 0.030 mol x 149.6 g/mol = 4.49 g

Answer:

Endpoint is point in which indicator change the color, and equivalence point is point in which there is equal amount of two chemicals. Endpoint is after Equivalence point.

Explanation:

To know the end point we use phenolphthalein as indicator. Therefore, endpoint is point in which indicator change the color, and equivalence point is point in which there is equal amount of two chemicals.

Titration is a technique by which we know the concentration of unknown solution using titration of this solution with solution whose concentration is known. To know the end point we use phenolphthalein as indicator. End point is a point where completion of reaction happen.

Endpoint is point in which indicator change the color, and equivalence point is point in which there is equal amount of two chemicals. Endpoint is after Equivalence point.

Therefore, endpoint is point in which indicator change the color, and equivalence point is point in which there is equal amount of two chemicals.

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Answer:

The binding energy present in the atomic nucleus that holds the protons and the neutrons together and its magnitude is one million times stronger than the electron binding energy in small atoms

Explanation:

The minimum required force to dismember an atomic nucleus into its constituent components, of protons and nucleus (collectively called nucleons) in known as the nuclear binding energy.

Energy is required in separating the nucleons hence the binding energy of a nucleus is always positive

According to Einstein's Energy and light relation E = mc², when a nucleus is formed from the number of free protons and neutrons, the sum of their individual masses is more than the mass of the formed atomic nucleus. The mass deficit of the neutron, also known as the 'missing mass' or mass defect indicates the amount of energy released in forming of the nucleus which therefore has different characteristics from its constituents as mentioned above

The amount of mass that is equivalent to the binding energy of the nucleus as shown in the Einstein's equation (E=mc²) is represented by the missing mass or mass defect of the formed nucleus or the difference in mass between the nuclear mass and that of the sum of the individual masses of its constituent protons and neutrons

Answer:

productivity and water depth

Explanation:

The productivity and the depth of water are both equally important as it directly affects the accumulation of biogenic sediments such as the siliceous ooze and calcareous ooze. In the equator and the coastal upwelling areas, and at the site of divergence of oceans, there occurs a high rate and amount of productivity, and these are considered to be the primary productivity.  

The siliceous oozes are a good indicator of extensively high productivity in comparison to the carbonate oozes. The main reason behind this is that the silica can be easily dissolved in the surface water. On the other hand, the carbonates dissolve at a relatively lower ocean water depth, so there requires a high amount of surface productivity in order to allow these siliceous oozes to reach the ocean bottom.

Thus, the water depth and productivity, both are considered as the limiting factor in determining the accumulation of biogenic oozes.

Answer: The weight of water bed in pounds is 1850.16 lb

Explanation:

To calculate the volume of cuboid, we use the equation:

[tex]V=lbh[/tex]

where,

V = volume of cuboid

l = length of cuboid = 210 cm

b = breadth of cuboid = 160 cm

h = height of cuboid = 25 cm

Putting values in above equation, we get:

[tex]V=210\times 160\times 25=8.4\times 10^5cm^3=29.65ft^3[/tex]      (Conversion factor:  [tex]1cm^3=3.53\times 10^{-5}ft^3[/tex] )

To calculate the mass of waterbed, we use the equation:

[tex]\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}[/tex]

Density of waterbed = [tex]62.4lb/ft^3[/tex]

Volume of waterbed = [tex]29.65ft^3[/tex]

Putting values in above equation, we get:

[tex]62.4lb/ft^3=\frac{\text{Mass of waterbed}}{29.65ft^3}\\\\\text{Mass of waterbed}=(62.4lb/ft^3\times 29.65ft^3)=1850.16lb[/tex]

Hence, the weight of water bed in pounds is 1850.16 lb

Answer:

[tex]\%\ Composition\ of\ sulfur=40.1\ \%[/tex]

Explanation:

Percent composition is percentage by the mass of element present in the compound.

Given , Mass of sulfur= 32.1 amu

Mass of oxygen = 16.0 amu

Mass of sulfur trioxide [tex]SO_3[/tex] = 32.1 amu + 3*16.0 amu = 80.1 amu

[tex]\%\ Composition\ of\ sulfur=\frac{Mass_{sulfur}}{Mass_{SO_3}}\times 100[/tex]

[tex]\%\ Composition\ of\ sulfur=\frac{32.1\ amu}{80.1\ amu}\times 100=40.1\ \%[/tex]

Final answer:

To determine the percent by mass of sulfur in sulfur trioxide (SO3), calculate the molar mass of the compound and divide the atomic mass of sulfur by the total molar mass. The percent by mass of sulfur in SO3 is found to be 40.0%.

Explanation:

To find the percent by mass of sulfur in sulfur trioxide (SO3), we first calculate the molar mass of the compound. We have one sulfur atom and three oxygen atoms in SO3.

Next, we calculate the molar mass of SO3:

Molar mass of SO3 = Molar mass of S + 3 × Molar mass of O
= 32.07 amu + 3 × 16.00 amu
= 32.07 amu + 48.00 amu
= 80.07 amu

To find the percent composition of sulfur, we divide the molar mass of sulfur by the total molar mass of the compound and multiply by 100:

Percent by mass of S in SO3 = (Molar mass of S / Molar mass of SO3) × 100%
= (32.07 amu / 80.07 amu) × 100%
= 40.0% (to the nearest tenth of a percent)