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Question

Calculate the total pressure in a mixture of 8 g of dioxygen and 4 g of dihydrogen confined in a vessel of 1 dm3 at 27°C. R = 0.083 bar dm3 K1 mol1.

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Solution

Given,

Mass of dioxygen (O2) = 8 g

Thus, number of moles of

Mass of dihydrogen (H2) = 4 g

Thus, number of moles of

Therefore, total number of moles in the mixture = 0.25 + 2 = 2.25 mole

Given,

V = 1 dm3

n = 2.25 mol

R = 0.083 bar dm3 K–1 mol–1

T = 27°C = 300 K

Total pressure (p) can be calculated as:

pV = nRT

Hence, the total pressure of the mixture is 56.025 bar.


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