Question

Question : 22 / 45
Equal masses of methane and oxygen are
mixed in an empty container at 25°C. The
fraction of the total pressure exerted by oxy-
gen is
1 273
b) -x-
3 298
a)
3
c)
d)
11​

Answer 1

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Answer 2

Answer:

Let the mass of oxygen and methane  = xgm

moles of oxygen($O_2$) = $\frac{x}{32}$

moles of Methane($CH_4$) = $\frac{x}{16}$

mole fraction(χ) = $\frac{n_{O_{2}}}{n_{total}}$

$\chi = \frac{\frac{x}{32}}{\frac{x}{32}+\frac{x}{16}}\\\\\chi = \frac{\frac{x}{32}}{\frac{3x}{32}}\\\\\chi = \frac{1}{3}$

Partial pressure = Total pressure x χ

Partial pressure = $1 \times \frac{1}{3}$ atm

Partial Pressure = 0.33 atm

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