NEET 2022 — Chemistry solution

NEET2022Chemistry

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

A
$p = n_{1} \frac{R T}{V} + n_{2} \frac{R T}{V} + n_{3} \frac{R T}{V}$
B
$p_{i} = χ_{i} p$ , where $p_{i}$ = partial pressure of $i^{t h}$ gas, $χ_{i}$ = mole fraction of $i^{t h}$ gas in gaseous mixture
C
$p_{i} = χ_{i} p_{i}^{\circ}$ , where $χ_{i}$ = mole fraction of $i^{t h}$ gas in gaseous mixture, $p_{i}^{\circ}$ = pressure of $i^{t h}$ gas in pure state
D
$p = p_{1} + p_{2} + p_{3}$

Solution

Dalton's law states that for an ideal gas mixture, the partial pressure of a component equals its mole fraction times the total pressure: $p_{i} = χ_{i} p$ .

Options (1) and (4) are equivalent forms of Dalton's law (total pressure equals the sum of partial pressures).

Option (2) is the correct mole fraction form.

Option (3) writes $p_{i} = χ_{i} p_{i}^{\circ}$ , which is Raoult's law for a solution component, not Dalton's law. Hence option (3) is the incorrect mathematical statement.

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