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12-08-2017
Mathematics

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The equation of state of a certain gas is given by p = rt/vm + (a + bt)/vm2, where a and b are constants. find (∂v/∂t)p.

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19-08-2017

Given:
[tex]p= \frac{RT}{vm} + \frac{a+bT}{vm^{2}} \\or\\v= \frac{1}{p}[ \frac{R}{m} + \frac{a+bT}{m^{2}}] [/tex]

Answer:
When p is held constant,
[tex] \frac{\partial v}{\partial T} |_{p}= \frac{1}{p}[ \frac{R}{m}+ \frac{b}{m^{2}}] [/tex]

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