A certain gas is expanded from (1L, 10atm) to (4L, 5atm) against a constant external pressure of 1 atm. If the initial temperature of gas is 300K and heat capacity for the process is 50J ""^(@)C^(-1) (use 1L atm = 100J), then

A certain gas is expanded from (1L, 10atm) to (4L, 5atm) against a con

1.	A certain gas is expanded from (1L, 10atm) to (4L, 5atm) against a constant external pressure of 1 atm. If the initial temperature of gas is 300K and heat capacity for the process is 50J ""^(@)C^(-1) (use 1L atm = 100J), then
Answer» `\|W\| = 0.3kJ` `\|Q\| = 15 KJ` `Delta U = 14.7 kJ` `Delta H = 15.7 kJ` Solution :Constant, P, `W = - P_("ext") Delta V` `= -1 xx (4-1) = - 3` latern, `\|W\| = 0.3 KJ` `(P_(1)V_(1))/(T_(1)) =(P_(2)V_(2))/(T_(2)), (1 xx 10)/(300)= (4 xx 5)/(T_(2)) , T_(2) = 600K` `\|q\| = C Delta T = (50 xx 300)/(1000) = 15KJ` `Delta U = q + W = + 15 - 0.3 = 14.7` `Delta H = Delta U + Delta (PV)` `=14.7 + (5 xx 4 - 10 xx 1) xx 0.1 KJ = 15.7 KJ`