Basic Maths and Units and DimensionsHard
Question
Two samples A and B of a gas initially at the same pressure and temperature are compressed from volume V to V/2 (A isothermally and adiabatically). The final pressure of A is :-
Options
A.Greater than the final pressure of B
B.Equal to the final pressure of B
C.Less than the final pressure of B
D.Twice the final pressure of B
Solution
A is compressed isothermally, hence
P1V = P2
⇒ P2 = 2P1
and B is compressed adiabatically, hence
P1′ Vγ = P′2
⇒ P′2 = (2)γ P′1
Since γ > 1, hence P2′ > P2 or P2 < P2′
P1V = P2
⇒ P2 = 2P1and B is compressed adiabatically, hence
P1′ Vγ = P′2
⇒ P′2 = (2)γ P′1Since γ > 1, hence P2′ > P2 or P2 < P2′
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