Question 257: Thermodynamics & KTG

Question

The equation of state of a real gas is given by $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\mathrm{b})=\mathrm{RT}$$, where $$\mathrm{P}, \mathrm{V}$$ and $$\mathrm{T}$$ are pressure, volume and temperature respectively and $$\mathrm{R}$$ is the universal gas constant. The dimensions of $$\frac{\mathrm{a}}{\mathrm{b}^2}$$ is similar to that of :

Accepted Answer

$$\begin{aligned}
& {[\mathrm{P}]=\left[\frac{\mathrm{a}}{\mathrm{V}^2}ight] \Rightarrow[\mathrm{a}]=\left[\mathrm{PV}^2ight]} \
& 	ext { And }[\mathrm{V}]=[\mathrm{b}] \
& \frac{[\mathrm{a}]}{\left[\mathrm{b}^2ight]}=\frac{\left[\mathrm{PV}^2ight]}{\left[\mathrm{V}^2ight]}=[\mathrm{P}]
\end{aligned}$$

Answer

P

Answer

RT

Answer

PV

Answer

R

Thermodynamics & KTG

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