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

Options

  1. Ap₀ V₀
  2. B13 2 p₀ V₀
  3. C11 2 p₀ V₀
  4. D4 p₀ V₀

Correct answer

B. 13 2 p₀ V₀

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 (p₀ V₀ )+5 (p₀ V₀ ) & = 13 2 p₀ V₀ aligned

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