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 | 9th 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 | 10th Jan, 2019, 12:09: PM

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