Verified Solution • 2025–26 Session moderate

QNEET-2022-Ch-383: NEET 2022 Chemistry - Class 11 NEET-2022-Ch-383 Solution: Which one is not correct mathematical equation for Dalton's Law …

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

p_i

= partial pressure of

i^{th}

gas

\chi_i

= mole fraction of

i^{th}

gas in gaseous mixture where

\chi_i

= mole fraction of

i^{th}

gas in gaseous mixture

p_i^\circ

= pressure of

i^{th}

gas in pure state

p = p_1 + p_2 + p_3

p = n_1\frac{RT}{V} + n_2\frac{RT}{V} + n_3\frac{RT}{V}

p_i = \chi_i p

p_i = \chi_i p_i^\circ

Multiple Choice Options

A $p = {p_1} + {p_2} + {p_3}$ p = p 1 _ + p 2 _ + p 3 _
B $p = {n_1}{{RT} \over V} + {n_2}{{RT} \over V} + {n_3}{{RT} \over V}$ p = n 1 _ V RT _ + n 2 _ V RT _ + n 3 _ V RT _
C ${p_i} = {\chi _i}p$ p i _ = _ i _ p
D ${p_i} = {\chi _i}p_i^o$ p i _ = _ i _ p i o _

Step-by-Step Verified Solution

_ Dalton's Law of partial pressure states that the total pressure by the mixture of non-reactive gases is equal to the sum of the partial pressures of individual gases. _ p T o t a l = p 1 + p 2 + p 3 _ Also, p i = _ i p ; where p i and _ i are the partial pressure and mole fraction of i th gas respectively and p is the total pressure. _ p T o t a l = p 1 + p 2 + p 3 = n 1 R T V + n 2 R T V + n 3 R T V = ( n 1 + n 2 + n 3 ) R T V

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