Question

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

• A. $p _{i}=\chi_{i} p _{i}^{0}$, where $\chi_{i}=$ mole fraction of $i^{\text {th }}$ gas in gaseous mixture $p_{i}^{0}=$ pressure of $i^{\text {th }}$ gas in pure state
• B. $p = p _{1}+ p _{2}+ p _{3}$
• C. $p = n _{1} \frac{ RT }{ V }+ n _{2} \frac{ RT }{ V }+ n _{3} \frac{ RT }{ V }$
• D. $p _{i}=\chi_{i} p$, where $p _{j}=$ partial pressure of $i^{\text {th }}$ gas $\chi_{i}=$ mole fraction of $i^{\text {th }}$ gas in gaseous mixture

Answer 1

Answer: (A)

Dalton's law of partial pressure :
Partial pressure of gas $=$ mole fraction of gas in gaseous mixture $\times$ Total pressure of gaseous mixture.
$p _{1} = X _{1} p $
$p _{2} = X _{2} p $
$ p _{3} = X _{3} p$
Total pressure,
$p = p _{1}+ p _{2}+ p _{3}$