Question

An ideal monoatomic gas is confined in a horizontal
cylinder by a spring loaded piston (as shown in the
figure). Initially the gas is at temperature T₁, pressure
P₁ and volume V₁ and the spring is in its relaxed state.
The gas is then heated very slowly to temperature T₂,
pressure P₂ and volume V₂. During this process the
piston moves out by a distance x. Ignoring the friction
between the piston and the cylinder, the correct
statement(s) is(are)
(A) If V₂ = 2V₁ and T₂ = 3T₁, then the energy stored in the spring is1/4 P₁V₁
(B) If V₂ = 2V₁ and T₂ = 3T₁, then the change in internal energy is 3P₁V₁
(C) If V₂ = 3V₁ and T₂ = 4T₁, then the work done by the gas is 7/3P₁V₁
(D) If V₂ = 3V₁ and T₂ = 4T₁, then the heat supplied to the gas is 17/6P₁V₁

Answer 1

Answer:

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