Boyle's Law states that when a sample of gas is compressed at a constant temperature, the product of the pressure and the volume remains constant: PV = C. (a) Find the rate of change of volume with respect to pressure. (b) A sample of gas is in a container at low pressure and is steadily compressed at constant temperature for 10 min- utes. Is the volume decreasing more rapidly at the begin- ning or the end of the 10 minutes? Explain. (c) Prove that the isothermal compressibility (see Example 5) is given by B = 1/P.

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Chapter10: Thermal Physics
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23. Boyle's Law states that when a sample of gas is compressed at
a constant temperature, the product of the pressure and the
volume remains constant: PV = C.
(a) Find the rate of change of volume with respect to pressure.
(b) A sample of gas is in a container at low pressure and is
steadily compressed at constant temperature for 10 min-
utes. Is the volume decreasing more rapidly at the begin-
ning or the end of the 10 minutes? Explain.
(c) Prove that the isothermal compressibility (see
Example 5) is given by ß = 1/P.
Transcribed Image Text:23. Boyle's Law states that when a sample of gas is compressed at a constant temperature, the product of the pressure and the volume remains constant: PV = C. (a) Find the rate of change of volume with respect to pressure. (b) A sample of gas is in a container at low pressure and is steadily compressed at constant temperature for 10 min- utes. Is the volume decreasing more rapidly at the begin- ning or the end of the 10 minutes? Explain. (c) Prove that the isothermal compressibility (see Example 5) is given by ß = 1/P.
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