Question

When a gas is heated from $298\text{K}$ to $323\text{K}$ at a constant pressure of $1\text{bar}$, its volume:

• A. Increases from $V$ to $2V$
• B. Increases from $V$ to $1.5V$
• C. Increases from $V$ to $1.084V$
• D. Increases from $V$ to $1.8V$

Answer 1

The correct option is C Increases from $V$ to $1.084V$

According to Charles’ Law: At constant P and n,
$V\propto T$
$V=k_{2}T$
$\frac{V_1}{V_2}=\frac{T_1}{T_2}$

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$
$\frac{V}{298}=\frac{V_2}{323}$
$V_2=V\times \frac{323}{298}=1.084\text{V}$