Question

On a ship sailing in the pacific ocean where temperature is ${23.4}^{\circ }\text{C}$, a balloon is filled with $2\text{L}$ air. What will be the volume of the balloon when the ship reaches the Indian ocean, where temperature is ${26.1}^{\circ }\text{C}$?

• A. $4.036\text{L}$
• B. $2.018\text{L}$
• C. $8.72\text{L}$
• D. $9.5\text{L}$

Answer 1

The correct option is B $2.018\text{L}$

As given,
$V_1=2\text{L}$
$T_1=(23.4+273)\text{K}=296.4\text{K}$
$T_2=(26.1+273)\text{K}=299.1\text{K}$
From Charles Law,
$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

$\Rightarrow V_2=\frac{V_1{T}_2}{T_1}$

$\Rightarrow V_2=\frac{2\text{L}\times 299.1\text{K}}{296.4\text{K}}=2.018\text{L}$