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States Of Matter

Question
CBSEENCH11005920

250 mL of a gas is confined in a vessel at at 15°C and 750 mm pressure. How much volume will it occupy at S.T.P.?

Solution

Original conditions Final conditions (S.T.P.)
straight V subscript 1 space equals space 250 space mL space space space space space space space space space space space space space space space space space space space space straight V subscript 1 space equals space ?
straight P subscript 1 space equals space 750 space mm space space space space space space space space space space space space space space space space space space space straight P subscript 2 space equals space 760 space mm
straight T subscript 1 space equals space 273 plus 15 space equals space 288 straight K semicolon space space space space space space space straight T subscript 2 space equals space 273 thin space straight K
Applying the gas equation
              fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction space equals space fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction
Substituting the values, we get,
 fraction numerator space 750 space cross times space 250 over denominator 288 end fraction space equals space fraction numerator 760 space cross times space straight V subscript 2 over denominator 273 end fraction
therefore space space space space space space space space space space straight V subscript 2 space equals space fraction numerator 750 space cross times space 250 space cross times space 273 over denominator 288 space cross times space 760 end fraction space equals space 233.8 space mL