The equation of state of some gases can be expressed as (P + a V ^2) (V − b) = R T, where P is the pressure, V is the volume, T is the absolute temperature, and a, b and R are constants. The dimensions of 'a' are

Question:

7.The equation of state of some gases can be expressed as (P + a V ^2) (V − b) = R T, where P is the pressure, V is the volume, T is the absolute temperature, and a, b and R are constants. The dimensions of ‘a’ are

Options :

a) [ML^5T^-2]
b) [ML^-1T^-2]
c) [M^0L^3T^0]
d) [M^0L^6T^0]

Answer :

a) [ML^5T^-2]

Answer Steps :

Step 1 :-

Step 2 :-

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