1.

A gas having a pressure of 750 mm of Hg occupies a volume of 300 times 10^(3)mm^(3)" at "52^(@)C. Find the volume of the same gas at S.T.P.

Answer»

Solution :Initial pressure `P_(1)=750` mm of Hg , Final pressure `P_(2)=760` mm of Hg
Initial temperature `t_(1)=52^(@)C, T_(1)=273+52=325K`
Final temperature `t_(2)=0^(@)C, T_(2)273K` , Initial VOLUME `V_(1)=300 times 10^(3)mm^(3)`
Final volume `V_(2)=?`
From the gas equation, `(P_(1)V_(1))/T_(1)=(P_(2)V_(2))/T_(2)" (or) "V_(2)=(T_(2)P_(1))/(T_(1)P_(2))V_(1)=273/325 times 750/760 times 300 times 10^(3)`
`=248684mm^(3)=248.7 times 10^(3)mm^(3)`


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