Answer to Question #349740 in Molecular Physics | Thermodynamics for Daniel

Question

An ideal gas is placed in a 4L container at a temperature of 300K and a pressure of 6

atmospheres. The pressure is held constant while the volume of the gas is halved. What is the

new temperature of the gas?

A. 1200K

B. 600K

C. 300K

D. 150K

E. 75K

Answer 1

Given:

$V_1=4\:\rm L$

$V_2=2\:\rm L$

$T_1=300\:\rm K$

At the constant pressure the ratio of volume to temperature is constant, so

$$\frac{V_1}{T_1}=\frac{V_2}{T_2}$$

Thus, the final temperature

$$T_2=T_1\frac{V_2}{V_1}=300*\frac{2}{4}=150\:\rm K$$

Answer: D. 150K