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If volume occupied by CO2 molecules is n...

If volume occupied by `CO_2` molecules is negligible, then the pressure exerted by one mole of `CO_2` gas in terms of temperature (T), assuming V to be single valued, is 

A

`P = (RT)/(4a)`

B

`P = (RT)/(4(a - b))`

C

`P = (R^2 T^2)/(4a)`

D

`(R^2 T^2)/(4ab)`

Text Solution

Verified by Experts

The correct Answer is:
C
Volume regligible `implies b = 0`
`implies (P + (an^2)/(V^2)) V = nRT`
`PV^2 + an^2 - nRT V = 0`
single value `implies ` determinant = 0
`(RT)^2 - 4Pa = 0 implies P = (R^2 T^2)/(4a)`.
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