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States of Matter
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08/09/2021 9:21 pm
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Two vessels containing gases A and B are interconnected as shown in the figure. The stopper is opened, the gases are allowed to mix homogeneously. The partial pressures of A and B in the mixture will be, respectively
(a) 8 and 5 atm
(b) 9.6 and 4 atm
(c) 4.8 and 2 atm
(d) 6.4 and 4 atm
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08/09/2021 9:29 pm
(c) 4.8 and 2 atm
Explanation:
Moles of A, (nA) = \(\frac{P_AV_A}{RT}\)
= \(\frac{8 \times 12}{RT}\)
= \(\frac{96}{RT}\)
Moles of B, (nB) = \(\frac{P_BV_B}{RT}\)
= \(\frac{8 \times 5}{RT}\)
= \(\frac{40}{RT}\)
Total pressure × total volume = (nA + nB) × RT
p (12 + 8) = \(\frac{1}{RT}\)(96 + 40)RT
P = 6.8
Partial pressure of A = P × mole fraction of A = 6.8
= \(\Big(\frac{\frac{96}{RT}}{\frac{96+40}{RT}} \Big)\)
= 4.8 atm
Partial pressure of B = 6.8 - 4.8
= 2 atm.
This post was modified 3 years ago 2 times by Shivani siva
This post was modified 3 years ago 2 times by admin