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Prove that the coefficient of volume expansion for an

Chapter 2, Problem 45P

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QUESTION:

Problem 45P

Prove that the coefficient of volume expansion for an ideal gas is βdeal gas = 1/T

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QUESTION:

Problem 45P

Prove that the coefficient of volume expansion for an ideal gas is βdeal gas = 1/T

ANSWER:

Solution 45P

For an ideal gas, the bulk modulus of elasticity is equal to its absolute pressure, .

Step 1

The bulk modulus of elasticity  (since ) …..(1)

Now, the coefficient of volume expansion

(from equation (1))

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