Question

For a real gas (vander Waal's gas) at Boyle's temperature and low pressure, the pressure may be (V_m ⇒  molar volume) :
1. a.b.V_m
2. \(\frac{{{V_m}}}{{a\,.\,b}}\)
3. \(\frac{a}{{{V_m}.\,\,b}}\)
4. \(\frac{b}{{a\,.\,{V_m}}}\)

Answer 1

Correct Answer - Option 3 : \(\frac{a}{{{V_m}.\,\,b}}\)

A real gas behaves ideally at Boyle's temperature in low pressure range.

\(Z= \dfrac{PV_M}{RT}=1\)

P = \(\frac{{RT}}{{{V_M}}}\) = \(\frac{{R\frac{a}{{Rb}}}}{{{V_M}}}\) = \(\frac{a}{{{V_M}.\,b}}\)