A cylinder contains 450 mL of a gas at 27°C at constant pressure. The cylinder is placed in a refrigerator at –10°C. Calculate the resultant volume of the gas.

Solution

From the given data,
$straight V subscript 1 space equals space 450 space mL semicolon space space space space straight T subscript 1 space equals space 273 plus space 27 space equals space 300 space straight K straight V subscript 2 space equals space ? space space space space space space space space space space space space space space space straight T subscript 2 space equals space 273 minus 10 space equals space 263 space straight K$
According to Charle's law

$straight V subscript 1 over straight V subscript 2 space equals space straight T subscript 1 over straight T subscript 2$
Substituting the values,

$fraction numerator 450 space mL over denominator straight V subscript 2 end fraction space equals space fraction numerator 300 space straight K over denominator 263 space straight K end fraction$
$therefore space space space space space space straight V subscript 2 space equals space fraction numerator 450 space cross times space 263 over denominator 300 end fraction mL space equals space 394.5 space mL$