Three samples of the same gas A,B and C (gamma=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 three samples, find the ratio of their initial pressures.

Three samples of the same gas A,B and C (gamma=3//2) have initially eq

1.	Three samples of the same gas A,B and C (gamma=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 three samples, find the ratio of their initial pressures.
Answer» Solution :LETE the INITIAL pressure of the THREE samples be `P_(A), P_(B) and P_(C)` then `P_(A)(V)^(3/2)=(2V)^(3/2)P` `P_(B)=P ""P_(C)(V)=P(2V)` ` :. P_(A):P_(B):P_(C) = (2)^(3//2): 1:2 = 2sqrt2:1:2`