Thermal expansion coefficient Isothermal compressibility coefficient ? = (1/V) (?V/?T)_p ? = (1/V) (?V/?p)_T Prove that: For ideal gas corrected volume p(Vm - b) = RT apply ? = 1/T - (b/(T Vm)) and ? = (1/p) - (b/(p Vm))
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We are given the thermal expansion coefficient (α) and isothermal compressibility coefficient (β) as: α = (1/V) * (dV/dT)p β = (1/V) * (dV/dp)T Show more…
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Thermal expansion coefficient α = (dV/dT)p Isothermal compressibility coefficient β = -(1/V)(dV/dp) Prove that: For an ideal gas, the corrected volume is given by p(Vm-b)-RT, where Vm is the molar volume and b is a constant. Additionally, B = βVm.
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