One mole of an ideal gas at a temperature T_(1) expands according to the law (p)/(V)= a constant.Findthe work donw when the final temperature is T_(2)

One mole of an ideal gas at a temperature T_(1) expands according to t

1.	One mole of an ideal gas at a temperature T_(1) expands according to the law (p)/(V)= a constant.Findthe work donw when the final temperature is T_(2)
Answer» Solution :`(p)/(V)= a CONSTATN = k` initial temperature - `T_(1) ` Final temperature - `T_(2)` `W = intPdv` `W=overset(V_2)underset(V_i)intkvdv` `W = (k(V_(2)^(2)-V_(1)^(2)))/(2)` `P_(2) = kV_(2),P_(1) =kV_(1)` `W = (P_(2)V_(2)-P_(1)V_(1))/(2) =(R(T_(2)-T_(1)))/(2)`