Question

An ideal gas undergoes expansion according to the process $P{V}^{0.5}=\text{constant}.$ The temperature of the gas during the expansion process

• A. does not change
• B. increases
• C. decreases
• D. changes depending on the initial condition

Answer 1

The correct option is B increases

$T_1{V}_1^{n-1}=T_2{V}_2^{n-1}$

$T_2=T_1{\left(\frac{V_1}{V_2}\right)}^{-0.5}$

$T_2=T_1{\left(\frac{V_2}{V_1}\right)}^{0.5}$

In the expansion process, $V_2>V_1$

$\therefore T_2>T_1$