Derive the original equation of state

Reference no: EM133096470

Question: Consider a gas of N particles, in volume V at absolute temperature T. The parameter b in the volume of one particle, and k is the Boltzmann constant. Here are two differentials of pressure, possibly derived from the equation of state of this substance:

dp = {-Nk/T2/(V - Nb)2]dV + {-2Nk/(V -Nb)}dT}
dp = {-NkT/(V - Nb)2]dV + [Nk/(V -Nb)}dT}
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One of theme is correct; the other one is impossible. Explain which one is correct, then derive the original equation of state from which the correct differential was derived.

Reference no: EM133096470

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