Question

If the temperature of 1 L of a gas is increased from ${27}^{\circ }\text{C}$ to ${57}^{\circ }\text{C}$, find the final volume of the gas, assuming the pressure to be 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 information:
Initial volume of the gas $V_1=1$ L
Initial temperature of the gas $T_1=(27+273)=300K$
Final temperature of the gas $T_2=(57+273)=330K$
Final volume of the gas $V_2=?$
From Charle's law, $\frac{V_1}{T_1}=\frac{V_2}{T_2}$ at constant pressure.

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