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Question
A cuboidal container having dimensions 2 m × 1.5 m × 0.5 m holds a mixture of 12 g of He, 36 g of Ar, and 20 g of Ne, If the container is maintained at 300 K, Find the pressure exerted by the mixture (given MHe = 4, MAr = 40, MNe = 20).
Options
4055.2 N/m2
814.38 N/m2
8143.8 N/m2
405.5 N/m2
MCQ
Solution
8143.8 N/m2
Explanation:
We apply Dalton's law of partial pressures to a mixture of inert gases.
∴ P = PHe + PAr + PNe
= `"RT"/"V" ["m"_"He"/"M"_"He" + "m"_"Ar"/"M"_"Ar" + "m"_"Ne"/"M"_"Ne"]`
= `(8.31 xx 300)/((2 xx 1.5 xx 0.5)) [12/4 + 36/40 + 20/20]`
= 1662 × (3 + 0.9 + 1)
∴ P = 8143.8 N/m2
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Kinetic Theory of Gases - Concept of Pressure
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