On a ship sailing in Pacific ocean where the 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 the temperature is 26.1°C ?

Solution

From the given data,
$straight V subscript 1 space equals space 2 straight L semicolon space space space straight T subscript 1 space equals space 273 plus 23.4 space equals space 296.4 space straight K straight V subscript 2 space equals space ? space space space space straight T subscript 2 space equals space 273 plus 26.1 space equals space 299.1 space straight K$
According to Charle's law,
   $straight V subscript 1 over straight V subscript 2 space equals space straight T subscript 1 over straight T subscript 2$
or $straight V subscript 2 space equals space fraction numerator straight V subscript 1 straight T subscript 2 over denominator straight T subscript 1 end fraction$
Substituting the values, we have
   $straight V subscript 2 space equals space fraction numerator 2 straight L space cross times space 299.1 space straight K over denominator 296. space 4 straight K end fraction space equals space 2 straight L cross times 1.009 space equals space 2.018 space straight L$