A vertical cylinder of cross-sectional area S contains one mole of an ideal monoatomic gas under a piston of mass M. At a certain instant, a heater that transmits to the gas an amount of heat q per unit time is switched on under the piston. Determine the velocity v of the piston under the condition that the gas pressure under piston is constant and equal to P_0 and the gas under the piston is thermally insulated.

A vertical cylinder of cross-sectional area S contains one mole of an

1.	A vertical cylinder of cross-sectional area S contains one mole of an ideal monoatomic gas under a piston of mass M. At a certain instant, a heater that transmits to the gas an amount of heat q per unit time is switched on under the piston. Determine the velocity v of the piston under the condition that the gas pressure under piston is constant and equal to P_0 and the gas under the piston is thermally insulated.
Answer» SOLUTION :`v=2/5 (Q)/( (P_0 S +MG))`