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Heat and Thermodynamics question

2015 · Shift 2 · Q54
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Heat and Thermodynamics question

2015 · Shift 2 · Q54

JEE AdvancedPhysicsHeat and ThermodynamicsMultiple correct+4 / −2
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 statements is/are JEE Advanced 2015 Paper 2 Offline Physics - Heat and Thermodynamics Question 41 English
  1. A
    If V2 = 2V1 and T2 = 3Tl, then the energy stored in the spring is 14P1V1{1 \over 4}{P_1}{V_1}41​P1​V1​
  2. B
    If V2 = 2V1 and T2 = 3T1, then the change in internal energy is 3P1V13{P_1}{V_1}3P1​V1​
  3. C
    If V2 = 3V1 and T2 = 4T1, then the work done by the gas is 73P1V1{7 \over 3}{P_1}{V_1}37​P1​V1​
  4. D
    If V2 = 3V1 and T2 = 4T1, then the heat supplied to the gas is 176P1V1{17 \over 6}{P_1}{V_1}617​P1​V1​
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