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Topic: Atomic and molecular masses, mole concept, molar mass· Some Basic Concepts in Chemistry

Which one is not correct mathematical equation for Dalton's Law of partial pressure ? Here p = total pressure of gaseous mixture

1. \(p_i = \chi_i p_i^\circ\), where \(\chi_i\) = mole fraction of \(i^{th}\) gas in gaseous mixture, \(p_i^\circ\) = pressure of \(i^{th}\) gas in pure state

2. \(p = p_1 + p_2 + p_3\)

3. \(p = n_1\frac{RT}{V} + n_2\frac{RT}{V} + n_3\frac{RT}{V}\)

4. \(p_i = \chi_i p\), where \(p_i\) = partial pressure of \(i^{th}\) gas, \(\chi_i\) = mole fraction of \(i^{th}\) gas in gaseous mixture

1 answer

Best answer

Answer: 1. \(p_i = \chi_i p_i^\circ\), where \(\chi_i\) = mole fraction of \(i^{th}\) gas in gaseous mixture, \(p_i^\circ\) = pressure of \(i^{th}\) gas in pure state

Key idea: Dalton's law: \(p=p_1+p_2+\dots\) and \(p_i=\chi_i\,p\) (mole fraction times total pressure).

Option 1 uses \(p_i^\circ\), the pressure of the pure gas, which is the form used in Raoult's law for solutions, not Dalton's law. Options 2, 3 (using \(p_i=n_iRT/V\)) and 4 are correct forms.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report
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