1 mole of an ideal monoatomic gas is confined in a cylinder fitted with a piston as shown…
Physics · JEE Advanced · NTA Exams — Kinetic Theory of Gases
1 mole of an ideal monoatomic gas is confined in a cylinder fitted with a piston as shown in the figure. Take mass of the piston as 0.5 kg, spring constant, k = 100 N/m, atmospheric pressure p0 = 105 N/m2, and the cross–section area of piston, A = 50 cm2. If energy of 50 J has been supplied to the system, then piston moves up by 5 cm [Take g = 10 m/s2]. Initially the spring is in its natural position. Mark out the correct statement(s).


- Increase in internal energy of the system is 24.625J.
- Initial pressure of the gas is 1.01 × 105 N/m2.
- For the change described, the temperature of the gas increases by 2 K.
- For the change described, the temperature of the gas decreases by 2 K.
Answer
(A) Increase in internal energy of the system is 24.625J., (B) Initial pressure of the gas is 1.01 × 105 N/m2., (C) For the change described, the temperature of the gas increases by 2 K.
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