Question

Volume of a given amount of gas at ${57}^{\circ }\text{C}$ is $425.8{\text{cm}}^3$. If the temperature is decreased to ${37}^{\circ }\text{C}$ at constant pressure, then the volume of the gas would be :

• A. $400{\text{cm}}^3$
• B. $220{\text{cm}}^3$
• C. $880{\text{cm}}^3$
• D. $12.20{\text{cm}}^3$

Answer 1

The correct option is A $400{\text{cm}}^3$

According to Charle's Law,
$V\propto T$ at constant pressure for an ideal gas.
So, we can write that,
$\frac{V_1}{V_2}=\frac{T_1}{T_2}......\left(1\right)$
Here,
$V_1=425.8{\text{cm}}^3$
$T_1=273+57=330\text{K}$
$T_2=273+37=310\text{K}$
$V_2=?$
Thus, from $\left(1\right)$
$V_2=\frac{V_1\times T_2}{T_1}=\frac{425.8\times 310}{330}=400{\text{cm}}^3$
Hence, option (a) is the correct answer.