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NEET2021PhysicsKinetic Theory of GasesActual

Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II (A) Root mean square speed of gas molecules   ( P ) 1 3 n m v 2 (B) Pressure exerted by ideal gas Q   3 R T M (C) Average kinetic energy of a molecule R 5 2 R T (D) Total internal energy of 1   mol of a diatomic gas S 3 2 k B T

Options

  1. A( A ) - ( R ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( Q )
  2. B( A ) - ( Q ) , ( B ) - ( R ) , ( C ) - ( S ) , ( D ) - ( P )
  3. C( A ) - ( Q ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( R )
  4. D( A ) - ( R ) , ( B ) - ( Q ) , ( C ) - ( P ) , ( D ) - ( S )

Correct answer

C. ( A ) - ( Q ) , ( B ) - ( P ) , ( C ) - ( S ) , ( D ) - ( R )

Step-by-step solution

The formula of root-mean-square speed is, v R M S = 3 R T M , the formula of pressure exerted by the gas, p = 1 3 m n v 2 , the formula of average kinetic energy of the gas is, K = 3 2 K B T and total energy of one mole of ideal gas is, Q = 5 2 R T .

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