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For a fixed amount of a real gas when a graph of Z vs P was plotted then at very high pressure slope was observed to be $0.02 a t m^{- 1}$ . At the same temperature, if a graph is plotted between PV vs P then for 2 moles of the gas the y-intercept is found to be 50
atm- litre. Calculate excluded volume in litres for 10 moles of the real gas.

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answer is 5.

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Detailed Solution

$Z = 1 + \frac{P b}{R T} b / R T = 0.02$

$P V = n R T = 50 ∴ 2 R T = 50 ∴ b = 0.02 \times 25 = 0.5 ∴ b = 0.02 \times 25 = 0.5$

Excluded volume for 10 moles $= 10 \times 0.5 = 5$

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