An ideal mono atomic gas is filled inside a cylindrical container and it is closed by a smooth and

Описание: An ideal monoatomic gas is filled inside a cylindrical container and it is closed by a smooth and insulting piston of mass 10 kg. The base of cylindrical container is insulting but side walls of cylinder has conductivity of 2 W/mK. Radius of cylinder is 10 cm, height is 100 cm and thickness of side walls is 10 cm. The cylindrical container is now placed inside a large water tank as shown. The temperature of water and surrounding is maintained at 0°C. An electrical heater is inserted in the cylinder supplying heat energy at a constant Rate of 4.44 kW. After some time when the temperature of gas reaches 20°C. The rate at which the height of piston rise is a m/s. Find the value of 50a. Length of gas column at 20°C is 50 cm. (take atmospheric pressure = 10^5 Pa)

Answer is 8