According first law of thermodynamics, Q=∆V+W or ∆V=Q−W According given conditions I. Q>0 and W=0 or ∆V=Q Here Q>0, therefore ∆V will be increase. II. Q<0 and W=0 or ∆V=Q Here, Q>0, therefore ∆V will be decrease. III. W>0 and Q=0 Or ∆V=−W Here, W>0 therefore ∆V will be decrease. IV. W<0 and Q=0 or ∆V=−W Here, W<0, therefore ∆V will be increase. Hence, condition I and IV will lead to an increase in the internal energy of the system. Therefore, option (c) is correct.