1. The problem statement, all variables and given/known data a. Consider an ideal gas being heated at constant volume, and let Cv be the gas's molar heat capacity at constant volume. If the gas's infinitesimal change in temperature is dT, find the infinitesimal change in internal energy dU of n moles of gas. Express the infinitesimal change in internal energy in terms of given quantities. b. Now suppose the ideal gas is being heated while held at constant pressure p. The infinitesimal change in the gas's volume is dV, while its change in temperature is dT. Find the gas's molar heat capacity at constant pressure, Cp. Express in terms of some or all of the quantities Cv, p, dV, n, and dT. c. Suppose there are n moles of the ideal gas. Simplify your equation for Cp using the ideal gas equation of state: pV = nRT. Express Cp in terms of some or all of the quantities Cv, n, and the gas constant R. d. The ratio of the specific heats Cp/Cv is usually denoted by the Greek letter [tex]\gamma[/tex]. For an ideal gas, find [tex]\gamma[/tex]. Give your answer in terms of some or all of the quantities n, R, and Cv. 2. Relevant equations I don't know. 3. The attempt at a solution For part a, I did dU = nCvdT, but I don't know if it's right. I'm having trouble approaching rest of the parts. Help please?