a) An automobile tire contains air with initial pressure (P) at 3.2×105 Pa and initial temperature (T) at 20 °C. The stem valve is removed and the air is allowed to expand adiabatically against the constant external pressure (Pex) of 1.0x105 Pa until the final pressure of the system, P; = Pex. For air, Cy.m = 5/2 R. Cy.m denotes molar heat capacity at constant volume. Assume ideal gas behavior. i) Estimate the heat change (q) (in unit J). ii) Express the relationship of internal energy (AU) (in unit J) and Cv,m. iii) Calculate the final temperature (Tr) (in unit K) of the gas in the tire.

ONe mole of an ideal gas first undergoes an isothermal expansion at a tempreture Ti = 500 K to 2 times its original volume . The tempreture is then reduced in an isochoric process to T2=300K . An isothermal compression otakes the gas back to its original volume and a final isochoric process returns the system to temperature T1 . How much heat is exchangeed between the system and its surroundings ?   a. Q=1153J b. Q=-1153j c. Q=2816j d.-2816j

A2.9 kg lump of aluminum is heated to 95°C and then dropped into 10.0 kg of water at 5.0°C. Assuming that the lump-water system is thermally isolated, what is the system's equilibrium temperature? Assume the specific heats of water and aluminum are 4186 and 900 J/kg-K, respectively. Number i Units

A solid cylindrical bar conducts heat at a rate of 25 W from a hot to a cold reservoir under steady state conditions. If both the length and the diameter of this bar are doubled, the rate at which it will conduct heat between these reservoirs will be O 12.5 W. O 200 W. O 100 W. O 25 W. O 50 W.