In a thermodynamic process the pressure of a fixed mass of a gas is changed in such a manner that the gas released 30 ~J of heat and 18 ~J of work was done on the gas. If the initial internal energy of the gas was 60 ~J , the final internal energy will be

Step-by-step solution

Given that, heat released, Q=-30 ~J Work done on the gas, W=-18 ~J Change in internal energy = U Initial internal energy, U_i=60 ~J Let final internal energy, U_f=U By using first law of thermodynamics, Q= W+ U Substituting the values, we get aligned -30 & =-18+ (U_f-U_i ) -30+18 & =U-60 U=48 ~J aligned Hence, the final internal energy of gas is 48 ~J .