The compressibility k of a substance is defined as thefractional change in volume of
Chapter 21, Problem 52(choose chapter or problem)
The compressibility k of a substance is defined as thefractional change in volume of that substance for agiven change in pressure:k 5 21VdVdP(a) Explain why the negative sign in this expressionensures k is always positive. (b) Show that if an idealgas is compressed isothermally, its compressibility isgiven by k1 5 1/P. (c) What If? Show that if an ideal gasis compressed adiabatically, its compressibility is givenby k2 5 1/(gP). Determine values for (d) k1 and (e) k2for a monatomic ideal gas at a pressure of 2.00 atm.
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