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A small amount of water and its saturate...

A small amount of water and its saturated vapour are enclosed in a vessel at a temperature `t = 100^@C`. How much (in per cent) will the mass of the saturated vapour increase if the temperature of the system goes up by `Delta T = 1.5 K` ? Assume that the vapour is an ideal gas and the specific volume of water is negligible as compared to that vapour.

Text Solution

Verified by Experts

From `C-C` equation, neglecting the voolume of the liquid
`(dp)/(dT) ~= (q_12)/(TV'_2) ~= (Mq)/(RT^2) p, (q = q_12)`
or `(dp)/(p) = (Mq)/(RT)(dT)/(T)`
Now `pV = (m)/(M) RT` or `m = (MpV)/(RT)` for a perfect gas
So `(dm)/(m) = (dp)/(p) - (dT)/(T) (V "is Const = specific volume")`
=`((Mq)/(RT) -1)(RT)/(T) = ((18 xx 2250)/(8.3 xx 373) -1) xx (1.5)/(373) ~~ 4.85 %`.
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