(a) An ideal gas undergoes a single stage expansion against a constant opposing pressure from (P_(1),V_(1),T)" to "(P_(2),V_(2),T). What is the largest mass m which mass m which can be lifted through a height h in this expansion? (b) The system in (a) restored to initial state by a single compression. What is the smallest mass ‘m’ which must fall through the height h to restore the system? (c) What is the net mass lowered through height h in the cycle transformation in (a) and (b) ?

(a) An ideal gas undergoes a single stage expansion against a constant

1.	(a) An ideal gas undergoes a single stage expansion against a constant opposing pressure from (P_(1),V_(1),T)" to "(P_(2),V_(2),T). What is the largest mass m which mass m which can be lifted through a height h in this expansion? (b) The system in (a) restored to initial state by a single compression. What is the smallest mass ‘m’ which must fall through the height h to restore the system? (c) What is the net mass lowered through height h in the cycle transformation in (a) and (b) ?
Answer» Solution :`"(a) "m=(nRT)/(GH)(1-P_(2)/P_(1)),"(B) "m'=(nRT)/(gh)(P_(1)/P_(2)-1),"(C) "m'-m=(nRT)/(gh)((P_(1)-P_(2))^(2)/(P_(1)P_(2)))^(2)`