Dieterici's equation of state is P × e^(a/VRT) (Vm - b) = RT, where Vm is the molar volume of gas. What is the pressure exerted by the gas in a vessel of 410.5 l capacity at 27°C, if P → 0?

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Prashant Kotian · Accepted Answer

Correct answer: A. as p → 0, vm is very large, so vm - b ≈ vm and e^(a/vmrt) → 1. the equation reduces to the ideal gas law: p = rt/vm. given t = 300 k, vm = 410.5 l, r = 0.0821: p = 0.0821 × 300 / 410.5 = 24.63 / 410.5 = 0.06 atm.

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