JEE Advance - Physics (1997 - No. 1)
The equation of state for real gas is given by $$\left( {P + {a \over {{V^2}}}} \right)\left( {V - b} \right) = RT$$. The dimention of the constant a is ___________.
ML-1T-2
ML3T-2
ML5T-2
M-1L5T-2
ML5T2
Explanation
$$\left[ {{a \over {{V^2}}}} \right] = \left[ P \right]$$
$$\therefore \left[ a \right] = \left[ {P{V^2}} \right]$$
$$ = {{ML{T^{ - 2}}} \over {{L^2}}}{L^6} = M{L^5}{T^{ - 2}}$$
$$\therefore \left[ a \right] = \left[ {P{V^2}} \right]$$
$$ = {{ML{T^{ - 2}}} \over {{L^2}}}{L^6} = M{L^5}{T^{ - 2}}$$
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