Question

A closed 5-liter vessel contains a sample of neon gas. The temperature inside the container is 25${}^o$C, and the pressure is 1.5 atmospheres (The gas constant, $R$ is equal to 0.08 L . atm/mol . K)
The volume of the vessel was gradually changed while the temperature was held constant until the pressure was measured at 1.6 atmospheres. Which of the following expressions is equal to the new volume?

• A. $5.0$ $\times \frac{1.5}{1.6}$ liters
• B. $5.0$ $\times \frac{1.6}{1.5}$ liters
• C. $25$ $\times \frac{1.5}{1.6}$ liters
• D. $0.08$ $\times \frac{1.6}{1.5}$ liters
• E. $0.08$ $\times \frac{1.5}{1.6}$ liters

Answer 1

The correct option is A $5.0$ $\times \frac{1.5}{1.6}$ liters

Temperature is constant.
Initial volume $=V_1=5$ L
Final volume $=V_2$
Initial pressure $=P_1=1.5$ atm
Final pressure $=P_2=1.6$ atm
$P_1{V}_1=P_2{V}_{2}1.5\times 5=1.6\times V_2$
$V_2=\frac{1.5\times 5}{1.6}$
Hence, the option $\left(A\right)$ is the answer.