General Physics Ques 45
Question 23
- The equation of state of a real gas is given by
(1997, 2M)
$$ p+\frac{a}{V^{2}}(V-b)=R T $$
where $p, V$ and $T$ are pressure, volume and temperature, respectively and $R$ is the universal gas constant. The dimensions of the constant $a$ in the above equation is
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Answer:
Correct Answer: 45.$\left[\mathrm{ML}^{5} \mathrm{~T}^{-2}\right]$
Solution:
Formula:
- $\frac{a}{V^{2}}=[p]$
$$ \therefore \quad[a]=\left[p V^{2}\right]=\left[\mathrm{ML}^{-1} \mathrm{~T}^{-2}\right]\left[\mathrm{L}^{6}\right]=\left[\mathrm{ML}^{5} \mathrm{~T}^{-2}\right] $$
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