(a) A bike pump is a 30 cm long cylinder with the handle all the way out. The pump contains air (γ=1.4) at 20°C. If the pump outlet is blocked and the handle pushed until the internal length of the pump cylinder is 10 cm, by how much does the air temperature rise? Assume no heat is lost. (Hint: adiabatic PVγ=constant, write P in terms of T using ideal gas equation)
(b) To maximize the COP of a refrigerator, should you strive for a large or small temperature difference? Large Small. Explain.
(c) If new materials were developed that could withstand higher temperatures than those encountered in power plants, how would that help us save energy?
(d) 4 L of water at 11°C is placed in a refrigerator. The refrigerator's 125 W motor runs for 4 min to cool the water to the refrigerator's low temperature of 1°C. What is the COP of the refrigerator as compared to the maximum possible COP if it exhausts heat at 25°C? Hints: COP=heat extracted at cold temperature/work received.
(e) 5 mol of an ideal diatomic gas is initially at 1 atm pressure and 300 K. What are the entropy changes if the gas is heated to 600 K at constant volume and at constant pressure? Hints: they are connected in the same way as the corresponding specific heats.