Question 317: Units , Dimensions and Error Analysis

Question

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 ___________.

Accepted Answer

$$\left[ {{a \over {{V^2}}}} ight] = \left[ P ight]$$
$$	herefore \left[ a ight] = \left[ {P{V^2}} ight]$$
$$ = {{ML{T^{ - 2}}} \over {{L^2}}}{L^6} = M{L^5}{T^{ - 2}}$$

Units , Dimensions and Error Analysis

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 ___________.

Integer / Numeric Answer Type