A piston of mass 20kg and area 50cm^2 sits freely on acylinder of 40 moles of mo

Question

A piston of mass 20kg and area 50cm^2 sits freely on acylinder of 40 moles of monatomic gas. The temperature of the gasis 300k. A) The gas is heated and absorbs 30,000 J of thermal energy.Because the piston is free to move, it rises. What is the finaltemperature? A piston of mass 20kg and area 50cm^2 sits freely on acylinder of 40 moles of monatomic gas. The temperature of the gasis 300k. A) The gas is heated and absorbs 30,000 J of thermal energy.Because the piston is free to move, it rises. What is the finaltemperature?

Explanation / Answer

A piston of mass 20kg and area 50cm^2 sits freely on acylinder of 40 moles of monatomic gas. The temperature of the gasis 300k. A) The gas is heated and absorbs 30,000 J of thermal energy.Because the piston is free to move, it rises. What is the finaltemperature?

Mass of the piston m = 20 kg
Area of the piston A = 50 cm2 = 50 x 10-4m2
number of moles of mono atomic gas n = 40 moles
Initial temperature of the gas T1 = 300 K
Final temperature of the gas T2 = ?
heat absorbed by the gas Q = 30000 J
Specific heat of mono atomic gas at constant pressure is Cp = 20.8J / mol.K

The heat absorbed by the gas is
             Q = nCp T = 40 * 20.8 (T2 - T1)
            30000 = 832 (T2 - 300)
            T2 = 36.05 + 300 = 336.05 K

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