The compressibility k of a substance is defined as the
Chapter 21, Problem 52(choose chapter or problem)
The compressibility k of a substance is defined as the fractional change in volume of that substance for a given change in pressure: k 5 2 1 V dV dP (a) Explain why the negative sign in this expression ensures k is always positive. (b) Show that if an ideal gas is compressed isothermally, its compressibility is given by k1 5 1/P. (c) What If? Show that if an ideal gas is compressed adiabatically, its compressibility is given by k2 5 1/(gP). Determine values for (d) k1 and (e) k2 for a monatomic ideal gas at a pressure of 2.00 atm.
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