Basic Maths and Units and DimensionsHard
Question
Three samples of the same gas A,B and C(γ = 3/2) have initially equal volume. Now the volume of each sample is doubled. The process is adiabatic for A, isobaric for B and isothermal for C. If the final pressures are equal for all the three samples, the ratio of their initial pressures is :
Options
A.2 √2 : 2 : 1
B.2 √2 :1: 2
C.√2 :1: 2
D.2 :1 : √2
Solution
for A → AD, PABVγ = P(2V)γ, PAD = P2γ = 23/2 P = 2√2P
for C → IT, PITV = P(2V), PIT = 2P
for B → IB, P = P1
for C → IT, PITV = P(2V), PIT = 2P
for B → IB, P = P1
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