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BITSAT Physics Thermodynamics 2024 BITSAT 2024 (Memory Based Paper 3)

BITSAT Physics Question (2024) — Solution

Question

In the given cycle A B C D A, the heat required for an ideal monoatomic gas will be

Options

  1. A. p_0 V_0
  2. B. 13 2 p_0 V_0
  3. C. 11 2 p_0 V_0
  4. D. 4 p_0 V_0

Answer

B. 13 2 p_0 V_0

Step-by-step solution

In the given cycle, heat is supplied in process D to A at constant volume and in process A to B at constant pressure. Heat supplied, Q=n C_V( T)_ D A +n C_p( T)_ A B For an ideal monoatomic gas, aligned C_V & = 3 2 R and C_p= 5 2 R \\ Q & = 3 2 n R T+ 5 2 n R T [ n R T=p V] \\ & = 3 2 (p_0 V_0 )+5 (p_0 V_0 ) \\ & = 13 2 p_0 V_0 aligned

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