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The pressure exerted by of an ideal gas at t^(@)C in a vessel of volume V litre is one atm. When the temperature is increased by 10 degree at the same volume, the pressure increases by 10%. Calculate temp t and volume V (molecular weight of gas =120) |
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Answer» Solution :Case (I) : GIVEN P= 1 atm, w=12 g, T=(t+273) K, V=V litre. Case (II) : `T=t+283, P=1+(10)/(100)=1.1` atm `W=12 g, V=V` litre. Using equation, PV =nRT Case (I) : `1xxV=(12)/(m) XX R (t+273)"….(1)"` Case (II) `1.1 V =(12)/(m) xx R (t+283)"....(2)"` By eq (1) and (2), `(1.1)/(1)=(t+283)/(t+273)` `therefore 1.1 t=-17.3, t=-173^(@)C=100 K` Also from case (I), `1xx v=(12)/(120) xx0.082 xx100` V=0.82 litre. |
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