On a ship sailing in Pacific Ocean where temperature is 23.4ºC, a bal

1.	On a ship sailing in Pacific Ocean where temperature is 23.4ºC, a balloon is filled with 2L air. What will be the volume of the balloon when ship reaches Indian ocean, where temperature is 26.1ºC?
Answer» V₁ = 2L, T₁ = 23.4 + 273 = 296.4 K V₂ = ? T₂ = 26.1 + 273 = 299.1 K According to Charle’s law, \(\frac{V_1}{T_1}=\frac{V_2}{T_2}\) \(\therefore\) V₂ = \(\frac{V_1T_2}{T_1}\) = \(\frac{2\times299.1}{296.4}\) = 2.018 L

On a ship sailing in Pacific Ocean where temperature is 23.4ºC, a balloon is filled with 2L air. What will be the volume of the balloon when ship reaches Indian ocean, where temperature is 26.1ºC?

Answer»

V₁ = 2L, T₁ = 23.4 + 273 = 296.4 K

V₂ = ? T₂ = 26.1 + 273 = 299.1 K

According to Charle’s law,

\(\frac{V_1}{T_1}=\frac{V_2}{T_2}\)

\(\therefore\) V₂ = \(\frac{V_1T_2}{T_1}\) = \(\frac{2\times299.1}{296.4}\) = 2.018 L