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A given quantity of an ideal gas is at pressure P and absolute temperature T . The isothermal bulk modulus of the gas is

Options

  1. A2 3 P
  2. BP
  3. C3 2 P
  4. D2 P

Correct answer

B. P

Step-by-step solution

In isothermal process PV = constant ∴ PdV + VdP = 0 or dP dV = - P V ∴ Bulk modulus, B = - dP dV / V = - dP dV V ∴ B = - - P V V = P ∴ B = P Note: Adiabatic bulk modulus is given by B = γP

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