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The pressure exerted by 12 g of an ideal...

The pressure exerted by 12 g of an ideal gas at temperature `1^(@)`C in a vessel of volume V litre is one atm. When the temperature is increased by 10 degrees at the same volume, the pressure increases by 10%. Calculate t and V (mol. wt. of gas = 120).

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Given : P=1 atm , w=12 g , T = (t + 273) K , if T = t + 10 + 273 = t + 283 K , `P= 1 + (10)/(100) = 1.1` atm
From gas equation ,`PV=(w)/(M)RT`
` 1 xx V = (12)/(M) R (t = 273)` ....... (i)
` 1.1 xx V =(12)/(M)R(t+283)`
By (i) and (ii) t = `-173^(@)C or t = 100K`
Also from (i) , on substituting t
`V= 0.82` litre
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