For a fixed amount of real gas when a graph of Z v/s P was plotted then at very high pressure, slope was observed to be 0.01 atm − 1 . At the same temperature if a graph is plotted b / w PV v / sP the

Question

For a fixed amount of real gas when a graph of Z v/s P was plotted then at very high pressure, slope was observed to be 0.01 atm − 1 . At the same temperature if a graph is plotted b / w PV v / sP then for 2 moles of the gas, the 'Y' intercept is found to be 40 atm-litre. Calculate excluded volume (in litres) for 20 moles of the real gas.

TestHub · Accepted Answer

​ P ( V − nb ) = n RT ⇒ P V − n P b = n RT ⇒ P V = n RT + n P b Z = n RT P V ​ = 1 + RT P b ​ ∴ RT b ​ = 0.01 n RT = 40 ⇒ b = 0.2 L m o l − 1 ​ Now, excluded volume = nb = 20 × 0.2 = 4.00 L .

Chemistry - Real Gas Question with Solution | TestHub

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