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/s P then for 2 moles of the gas ‘Y’ intercept is found to be 40 atm-liter. Calculate excluded volume in litres for 20 moles of the real gas.
Text Solution
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(4)
Very high pressure ∴ neglect ;
∴ Z = 1 + 
...
comparing above equation with y = mx + c
∴ m = 
⇒ 
= 0.01 (given m = 0.01)
b = 0.01 RT ...
Z = 
Z = 
(given for % n = 2, PV = 40)
Z = 
Z = 
...
as, Z = 1 + 
from equation
= 1 + 
...
10 = RT + Pb
Pb = 20 – RT ...(5)
(PV) real = 40 = ZnRT = 
2RT
⇒ 40 = 
2RT
40 = 2RT + 20 – RT
20 = RT ...(6)
From &
b = 0.01 × 20
b = 0.2
excluded volume for 20 moles
nb = 20 × 0.2
nb = 4
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