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1. A hypothetical substance has an isothermal compressibility [tex]\kappa[/tex]=[tex]a/v[/tex] and an expansivity [tex]\beta[/tex]=[tex]2bT/v[/tex] where a and b are constants.

a) Show that the equation of state is given by [tex] v - bT^2 + aP[/tex] = constant

b) If at a pressure [tex]P_o[/tex] and temperature [tex]T_o[/tex], the specific volume is [tex]v_o[/tex], evaluate the constant.

edit: sry for double post, PF was lagging.

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# Homework Help: Thermodynamics question

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