A monoatomic gas is compressed from a volume of 2 m 3 to a volume of 1 m 3 at a constant pressure of 100 N m 2 . Then it is heated at constant volume by supplying 150 J of energy. As a result, the internal energy of the gas

Step-by-step solution

Isobaric process with Q = 0 ∴  0 = W + Δ U ∴   0 = P Δ V + Δ U ∴  Δ U = - P Δ V = - 1 0 0 1 - 2   J Δ U = 1 0 0  J Constant volume with Q = 150   J Q = 0 + Δ U ∴  Δ U 2 = 1 5 0 J ∴  Δ U = Δ U 1 + Δ U 2 = + 2 5 0 J Hence, internal energy increases by 250   J