A given mass of gas occupies a volume of 4.00 L at 60°C and 550 mmHg.Which of the following mathematical expressions will yield its temperature at 2.50 L and 900 mmHg?
A)
B)

Question

A given mass of gas occupies a volume of 4.00 L at 60°C and 550 mmHg.Which of the following mathematical expressions will yield its temperature at 2.50 L and 900 mmHg?
A)​ 
B)​

Quizplus · Accepted Answer

We can use the combined gas law to calculate the temperature of the gas at the new conditions:

(P1V1)/T1 = (P2V2)/T2

Substituting the given values:

(550 mmHg)(4.00 L)/(60°C) = (900 mmHg)(2.50 L)/T2

Solve for T2:

T2 = (900 mmHg)(2.50 L)(60°C)/(550 mmHg)(4.00 L)
   = 164.5°C

Therefore, we need to choose the expression that yields a temperature of 164.5°C:

D) T2 = T1(P2V2)/(P1V1)

A Given Mass of Gas Occupies a Volume of 4