JEE Advanced Model Paper 7 with solutions for online practice

Two moles of an ideal monatomic gas are contained in a vertical cylinder of crosssectionalarea A as shown. The piston is frictionless and has mass m. At a certaininstant a heater starts supplying heat to the gas at a rate of q J/s. All the boundaries arethermally insulated. Atmospheric pressure is Po. If the velocity of piston under isobariccondition is

2

x

q

[p0A+mg]

. Then the value of ‘x’ will be