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Question

calculate the total pressure of a mixture of 8grams of O2 and 4grams of H2 and enclosed in a vessel of 1 dm^3 at 27°C ?
Given that R = 0.083 bar dm^3 K^-1 mol^-1

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Solution

Given,

Mass of oxygen = 8 g, molar mass of oxygen = 32 g/mol

Mass of hydrogen = 4 g, molar mass of hydrogen = 2 g/mol

Therefore amount of oxygen = 8/ 32 = 0.25 mol

And amount of hydrogen = 4/2 = 2 mol

From the gas equation PV = n RT, we get,

P X 1 = (0.25 + 2) X 0.083 X 300 = 56.02 bar

Hence, the total pressure of the mixture is 56.02 bar.


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