Question

Find the final volume of the gas, if the temperature of $1\text{L}$ of a gas is increased from $27{}^{\circ }\text{C}$ to $57{}^{\circ }\text{C}$, assuming the pressure is kept constant.

• A. $1.1\text{L}$
• B. $2.2\text{L}$
• C. $3\text{L}$
• D. $0.1\text{L}$

Answer 1

The correct option is A $1.1\text{L}$

Given,
Initial volume of the gas $V_1=1\text{L}$
Initial temperature of the gas $T_1=(27+273)=300\text{K}$
Final temperature of the gas $T_2=(57+273)=330\text{K}$
Final volume of the gas $V_2=?$
From Charle's law, $\frac{V_1}{T_1}=\frac{V_2}{T_2}$ at constant pressure.

$\Rightarrow V_2=V_1{T}_2/T_1=\frac{1\times 330}{300}=1.1\text{L}$