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Physics Thermodynamics Mix MCQ (Single Correct)

A certain mass of saturated water vapour is contained in a cylindrical vessel under a weightless piston at one atmospheric pressure. The piston is slowly lowered till 0.7 g of vapour gets condensed. The volume under the piston is now only (1/5) th of the original volume. (Neglect the volume of liquid formed). Then -

A
original mass of the vapour was 0.89 gm
B
original mass of the vapour was 1.14gm
C
temperature of vapour is 100 0 C
D
temperature of vapour is 114 0 C

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, c)

P 1 V 1 = n 1 RT

P 1 = vapour pressure = P 0

If piston is lowered slowly, then the process is isothermal

n 2 = n 1 /5

0.7gm vapour is condensed so

n – n 2 = …(i)

n 1 = …(ii)

Dividing (i) by (ii),

4m = 3.5

m = = 0.87

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