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The van der Waal's equation of state for...

The van der Waal's equation of state for some gases can be expressed as :
`(P + (a)/( V^(2))) ( V - b) = RT`
Where `P` is the pressure , `V` is the molar volume , and `T` is the absolute temperature of the given sample of gas and `a, b , and R` are constants.
The dimensions of ` a` are

A

`ML^(5)T^(-2)`

B

`M^(0)L^(3)T^(0)`

C

`ML^(-1)T^(-2)`

D

`M^(0)L^(6)T^(0)`

Text Solution

Verified by Experts

The correct Answer is:
D
`[(ab)/(RT)]=[(PV^(2))/(PV)]=[V^(2)]=M^(0)L^(6)T^(0)`
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