Question

On $4$ liter sample of a gas, the pressure is doubled and absolute temperature is increased by 25%. The new volume of the gas in liters is:

• A. 5
• B. 4
• C. 2.5
• D. 1.25

Answer 1

Answer: (C)

2.5

By ideal gas equation,

$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

Here, $P_1=P$(say)
$V_1=4$ liter
$T_1=T$ (say)
$P_2=2P$
$V_2=?$
$T_2=T+\frac{25}{100}T=1.25T$

putting all the values, we get $V_2$ $=2.5$ liter.