One mole of an ideal monoatomic gas at 27^(@)C is subjected to a reversible isoentropic compression until final temperature reaches 327^(@)C. If the initial pressure was 1.0 atm then find the value of ln P_(2):

One mole of an ideal monoatomic gas at 27^(@)C is subjected to a rever

1.	One mole of an ideal monoatomic gas at 27^(@)C is subjected to a reversible isoentropic compression until final temperature reaches 327^(@)C. If the initial pressure was 1.0 atm then find the value of ln P_(2):
Answer» 1.75 0.176 1.0395 `2.0` SOLUTION :ISOENTROPIC `rArr q= 0 rArr T_(1)^(GAMMA), P_(1)^(1- gamma) = T_(2)^(gamma) P_(1)^(1- gamma)` `(300)^(5//3) xx 1^((1-5//3)) = (600)^(5//3) xx P_(2)^((1- 5//3))` `((1)/(2))^(5//3) = P_(2)^(-(2//3)) rArr (5)/(3)" ln" (1)/(2) = (-2)/(3) ln P_(2)` `rArr ln P_(2) = (5)/(2) ln 2= 1.73`