Suppose that a gas satisfies the universal gas law, with n equal to 40 moles of the gas and R, the universal gas constant, equal to 0.082054. What is V if (kelvins, the units in which temperature is measured on the Kelvin scale) and atmosphere? Round your answer to four decimal places.

Question

Suppose that a gas satisfies the universal gas law,  with n equal to 40 moles of the gas and R, the universal gas constant, equal to 0.082054. What is V if  (kelvins, the units in which temperature is measured on the Kelvin scale) and  atmosphere? Round your answer to four decimal places. ​

Quizplus · Accepted Answer

The universal gas law is PV=nRT, where P is pressure, V is volume, n is number of moles, R is the universal gas constant, and T is temperature in Kelvin. We are given n=40, R=0.082054, T=373 Kelvin, and P=1.5 atm.

We can rearrange the equation to solve for V:

V = nRT/P

Plugging in the given values, we get:

V = (40 moles)(0.082054 L*atm/mol*K)(373 K)/(1.5 atm)

V ≈ 7.6473 L

Rounding to four decimal places, we get V ≈ 7.6473 L, which corresponds to choice B.

Suppose That a Gas Satisfies the Universal Gas Law