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

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» <P> Solution :Let 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 = 2sqrt(2) :1:2`