Question

$1000\text{cc}$ of an ideal gas at constant pressure is heated from ${27}^{\circ }\text{C}$ to ${327}^{\circ }\text{C}.$ The new volume will be

• A. $1500\text{cc}$
• B. $2000\text{cc}$
• C. $1000\text{cc}$
• D. $750\text{cc}$

Answer 1

The correct option is B $2000\text{cc}$

We know that,
According to Charle's law, for constant pressure the volume of the given mass of a gas
$V\propto T$ (absolute temperature)
$\Rightarrow \frac{V}{T}=$ constant
$\Rightarrow \frac{V_1}{T_1}=\frac{V_2}{T_2}$
$\Rightarrow \frac{1000\text{cc}}{V_2}=\frac{T_1}{T_2}=\frac{27+273}{327+273}$
$\Rightarrow \frac{1000}{V_2}=\frac{300}{600}=\frac{1}{2}$
$\Rightarrow V_2=2000\text{cc}$