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Chapter 12: Q 60. (page 932)

The ideal gas law states that the pressure, P , volume, V, temperature in degrees Kelvin, T, and amount, n, of a gas are related by the equationP = nRT/ V, where R is the universal gas constant. In Exercises 57鈥�60, assume that the amount of the gas is constant and evaluate the specified limits.

If the temperature is held fixed, what is limv鈫�鈭�P? Explain why this makes sense

Short Answer

Expert verified

The value of limv鈫�鈭�Pis 0.When Tis constant.

This makes sense because as the gas expands, the contact between the gas particles decreases rapidly, resulting in a rapid drop in pressure.

Step by step solution

01

Step 1. Given information. 

We have given expression:limv鈫�鈭�P

02

Evaluate the specified limits. Explain why this makes sense 

limV鈫�鈭�P=limV鈫�鈭�nRTV=nRTlimv鈫�鈭�1V=0

Therefore, the value of limV鈫�鈭�Pis 0. When T is constant.

This predicts that if a gas is allowed to expand endlessly with constant temperature, its pressure P will approach zero.

This makes sense because as the gas expands, the contact between the gas particles decreases rapidly, resulting in a rapid drop in pressure.

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