1 mole of an ideal monoatomic gas is confined in a cylinder fitted with a piston as shown…

Physics · JEE Advanced · NTA ExamsKinetic 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).  
 
  1. Increase in internal energy of the system is 24.625J.
  2. Initial pressure of the gas is 1.01 × 105 N/m2.
  3. For the change described, the temperature of the gas increases by 2 K.
  4. 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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