a. Find an expression for the v_rms of gas molecules in terms of p, V, and the total mass of the gas M.
b. A gas cylinder has a piston at one end that is moving outward at speed v_piston during an isobaric expansion of the gas. Find an expression for the rate at which v_rms is changing in terms of v_piston, the instantaneous value of v_rms, and the instantaneous value L of the length of the cylinder.
c. A cylindrical sample chamber has a piston moving outward at 0.50 m/s during an isobaric expansion. The rms speed of the gas molecules is 450 m/s at the instant the chamber length is 1.5 m. At what rate is v_rms changing?