Recent content by patrickmoloney

Yeah I think I'll do it algebraically so until the final line. Thanks very much.

Homework Statement Suppose that heat leaks into your kitchen refrigerator at an average rate of 300W. Assuming ideal operation, how much power must it draw from the wall. Homework Equations \eta = \dfrac{T_C}{T_H - T_C} W= \dfrac{Q}{COP} The Attempt at a Solution A typical refrigerator...

I got it from T \Bigg{(}\dfrac{\partial p}{\partial T}\Bigg{)}_V I couldn't get an R on its own

I got \dfrac{RT}{1-\frac{2a}{V^3}\frac{(V-b)^2}{RT}}. But I'm happy enough that I know how to solve the problem should it come up. Thanks guys.

Ok I've tried it using your fraction and got \dfrac{RV(V-b)}{4a(\frac{b}{V}-1)} I've just realized how bad I am at algebra.

I was thinking cause ] Yeah I would love that in the end I got \dfrac{T^2(2a-1)}{V^3(V-b)} which looks respectable. It's not a homework problem anyway but it was from an exam paper which means it could be something that could come up in the exam. Would you be able to teach the method chester...

\Bigg{(}\dfrac{\partial T}{\partial V}\Bigg{)}_p = -\Bigg{(}\dfrac{2ab}{V^3} +\dfrac{a}{V^2}- P\Bigg{)} \cdot \dfrac{1}{R} Letting p = \dfrac{RT}{(v-b)}-\dfrac{a}{V^2} and substituting into my equation for \Bigg{(}\dfrac{\partial T}{\partial V}\Bigg{)}_p gives \Bigg{(}\dfrac{\partial...

I got \Bigg{(}\dfrac{\partial T}{\partial V}\Bigg{)}_p = -\Bigg{(}\dfrac{2ab}{V^3} +\dfrac{a}{V^2}- P\Bigg{)} \cdot \dfrac{1}{R} Then inverting this equation yields \Bigg{(}\dfrac{\partial V}{\partial T}\Bigg{)}_p = -\Bigg{(}\dfrac{V^3}{2ab} +\dfrac{V^2}{a}-\dfrac{1}{P}\Bigg{)} \cdot R

Van der waals equation of state. Like I did with \Bigg{(}\dfrac{\partial p}{\partial T}\Bigg{)}_V

Would that mean I could do \Bigg{(}\dfrac{\partial T}{\partial V}\Bigg{)}_p to solve the VDW equation?

Differentiating the LHS with respect to T and keeping the volume constant I get \Bigg{(}\dfrac{\partial p}{\partial T}\Bigg{)}_V= \dfrac{R}{V-b} Substituting that into my desired equation I get c_p - c_v = \Bigg{[}T\Bigg{(}\dfrac{R}{V-b}\Bigg{)}\Bigg{]}\Bigg{(}\dfrac{\partial V}{\partial...

The van der waals equation?

Homework Statement Find the expression for c_p - c_v for a van-der-waals gas, with the equation of state \Bigg{(}p+\dfrac{a}{V^2}\Bigg{)}(V-b)=RT Homework EquationsThe Attempt at a Solution Basically I've proved c_p - c_v = \Bigg{[} p + \Bigg{(}\dfrac{\partial E}{\partial V}\Bigg{)}_T...

Homework Statement [/B] Phospine exist in three forms. known as the \alpha, \beta and \gamma forms. The \alpha and \beta forms are in equilibrium with each other at 49.43 \, K, and the \alpha and \gamma forms are in equilibrium at 30.29 \, K. Obtain the molar heat of transformation for the...

Yeah I thought so! Thanks a lot.