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On a ship sailing in pacific ocean where...

On a ship sailing in pacific ocean where temperature is `23.4 ""(@)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 ""^(@)C` ?

Text Solution

Verified by Experts

Initial temperature `= 23.4^(@)C=(23.4+272)K`
`= 296.4 K = T_(1)`
Initial volume of balloon `= V_(1)=2L`
Volume of balloon the end `= V_(2)= (?)`
Temperature of balloon at the end `=(26.1+273)K=299.1 K`
Gas is present in balloon is constant. Pressure of gas present on ship of balloon is P.
Mass & pressure of gas is constant, according to Charle.s law,
`(V_(1))/(T_(1))=(V_(2))/(T_(2))`
`therefore V_(2)=((V_(1))/(T_(1)))T_(2)=((2L)(299.1K))/(296.4 K)=2.018 L`
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