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

Option: 1

\mathrm{P}=\mathrm{n}_{1} \frac{\mathrm{RT}}{\mathrm{V}}+\mathrm{n}_{2} \frac{\mathrm{RT}}{\mathrm{V}}+\mathrm{n}_{3} \frac{\mathrm{RT}}{\mathrm{V}}


Option: 2

\mathrm{P_{i}=x_{i} P,} Where \mathrm{P_{i}=}partial pressure of \mathrm{{i^{th}}} gas

                              \mathrm{X_{i}=}mole fraction of \mathrm{{i^{th}}} gas in gaseous mixture

                             


Option: 3

\mathrm{P_{i}=x_{i} P_{i}^{0},} where \mathrm{x_{i}=} mole fraction of \mathrm{i^{th}} gas in gaseous mixture

                             \mathrm{P_{i}^{0}=} Pressure of \mathrm{i^{\text {th }}} gas in pure state


Option: 4

\mathrm{p=p_{1}+p_{2}+p_{3}}


Answers (1)

best_answer

Daltons law of partial pressure equations are :

\mathrm{P_{1}=n_{1} \frac{R T}{V}, P_{2}=n_{2} \frac{R T}{V}, P_{3}=n_{3} \frac{R T}{V} }\\

\mathrm{P_{\text {total }}=P_{1}+P_{2}+P_{3}=n_{1} \frac{R T}{V}+n_{2} \frac{R T}{V}+n_{2} \frac{R T}{V}} \\

\mathrm{P_{i} =X_{i}P_{total} }

but  \mathrm{P_{i} =X_{i}P_{i}^{0} } is not the equation of Dalton's law of partial pressure

Hence correct option is 2

Posted by

Kuldeep Maurya

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