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Q) The density of a mixture of O2 and N2 at STP is 1.3g/lit. Calculate the the partial pressure of O2.

Asked by Anish | 09 Jan, 2019, 11:33: PM

Expert Answer

Given:

Density of mixture of O₂ and N₂ = 1.3 g/lit

Partial space pressure space of space straight O subscript 2 space comma space straight P to the power of apostrophe subscript straight O subscript 2 end subscript space equals space straight P subscript straight m space cross times space mole space fraction Since comma space straight P subscript straight m space equals space 1 space atm straight P to the power of apostrophe subscript straight O subscript 2 end subscript space equals space 1 space cross times space mole space fraction We space have comma PV equals space nRT PV space equals space straight w over straight m RT Density space equals mass over volume space equals space 1.3 straight m space equals space straight w over VP RT space straight m space equals space fraction numerator 1.3 cross times 0.0821 cross times 273 over denominator 1 end fraction space space space space equals space 29.137 space straight g divided by lit If space straight n subscript 1 space and space straight n subscript 2 space are space mole space of space straight O subscript 2 space and space straight N subscript 2 space respectively comma Now comma fraction numerator 32 straight n subscript 1 space plus space 28 straight n subscript 2 space over denominator open parentheses straight n subscript 1 space plus space straight n subscript 2 space close parentheses end fraction space equals space 29.13 fraction numerator 28 straight n subscript 1 space plus space 28 straight n subscript 2 space over denominator open parentheses straight n subscript 1 space plus space straight n subscript 2 space close parentheses end fraction space plus space fraction numerator 4 straight n subscript 1 space over denominator open parentheses straight n subscript 1 space plus space straight n subscript 2 space close parentheses end fraction space equals space 29.13 fraction numerator straight n subscript 1 space over denominator open parentheses straight n subscript 1 space plus space straight n subscript 2 space close parentheses end fraction space equals fraction numerator 1.12 over denominator 4 end fraction space space space space space space space space space space space space space space space space space space space equals space 0.28 space Partial space pressure space of space straight O subscript 2 space comma straight P to the power of apostrophe subscript straight O subscript 2 end subscript space equals space 1 space cross times space mole space fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space space 0.28 space atm

The partial pressure of O₂ is 0.28 atm.

Answered by Varsha | 10 Jan, 2019, 12:09: PM

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