400 cc volume of a gas having gamma = 5//2 is suddenly compressed to 100 cc. If the initial pressure is P, then the final pressure will be

400 cc volume of a gas having gamma = 5//2 is suddenly compressed to 1

1.	400 cc volume of a gas having gamma = 5//2 is suddenly compressed to 100 cc. If the initial pressure is P, then the final pressure will be
Answer» <P>P/32 8P 32P 16 P Solution :Here, `V_(1) = 400 c c, V_(2) = 100 c c, gamma = (5)/(2), P_(1) = P = P_(2) = ?` Sudden compression is an adiabatic process. For an adiabatic process, `PV^(gamma)` = CONSTANT `:. P_(1)V_(1)^(gamma) = P_(2)V_(2)^(gamma)` or `P_(2) = P_(1)((V_(1))/(V_(2)))^(gamma) = P((400)/(100))^(5//2) = (2^(2))^(5//2)P = 32P`