Question

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

Answer 1

Volume of the balloon
Given: $V_1=2L,T_1={23.4}^{\circ }C=296.4K$
and $T_2={26.1}^{\circ }C=299.1K$

From Charles law, $V\propto T$

So, $$\begin{array}{cc}\frac{V_1}{T_1}& =\frac{V_2}{T_2}\\ \Rightarrow V_2& =\frac{V_1{T}_2}{T_1}\\ \Rightarrow V_2& =\frac{2L\times 299.1K}{296.4K}\\ & =2L\times 1.009\\ & =2.018L\end{array}$$

Final answer: Volume of the balloon when the ship reaches Indian ocean is $2.018L$