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On a ship selling in pacific ocean where...

On a ship selling in pacific ocean where temperature is `23^@C` a ballon is filled with 2L air what will be the volume of the ballon when the ship reaches indian ocean where temperature is `26.1^@C`?

Text Solution

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When `T_(1)=23.4^(@)C=(23.4+273) K=296.4 K, V_(1)=2L`
When `T_(2)=26.1^(@)C=(26.1+273) K=299.1 K, V_(2)`= To be calculated
As pressure above the sea level is supposed to remain constant, applying Charles' law,
`(V_(1))/(T_(1))=(V_(2))/(T_(2)), i.e., (2L)/(296 K)=(V_(2))/(299.1 K)" or "V_(2)=2.018 L`
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