`A` vertical cylinder of cross-section area `A` contains one mole of an ideal mono-atomic gas under a piston of mass `M` At a certain instant a heater which supplies heat at the rate q `J//s` is switched `ON` under the piston. The velocity with which the piston moves upward under the condition that pressure of gas remains constant is [Assume on heat transfer through walls of cylinder]

Options

A. (a) `v=(2)/(9)(q)/(p_(0)A+Mg)`
B. (b) `v=(2)/(5)(q)/(p_(0)A+Mg)`
C. (c) `v=(2q)/(3p_(0)A+Mg)`
D. (d) `v=(2q)/(5p_(0)A+3Mg)`

Answer

B