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The pressure exerted by of an ideal gas ...

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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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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