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Solution: Consider a mixture of two gases, A and B, confined in a closed vessel. A quantity of a third gas, C, is added to the same vessel at the same temperature. How does the addition of gas C affect the following?the mole fraction of gas B

Problem

Consider a mixture of two gases, A and B, confined in a closed vessel. A quantity of a third gas, C, is added to the same vessel at the same temperature. How does the addition of gas C affect the following?

the mole fraction of gas B

Solution

Mole fraction of a component of a mixture is given by:


<math xmlns="http://www.w3.org/1998/Math/MathML"><menclose mathcolor="#0000FF" notation="box"><mi>m</mi><mi>o</mi><mi>l</mi><mi>e</mi><mo>&#xA0;</mo><mi>f</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>i</mi><mi>o</mi><mi>n</mi><mo>&#xA0;</mo><mfenced><mi>X</mi></mfenced><mo>&#xA0;</mo><mo>=</mo><mfrac><mrow><mo>&#xA0;</mo><mi>m</mi><mi>o</mi><mi>l</mi><mi>e</mi><mi>s</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mo>&#xA0;</mo><mi>c</mi><mi>o</mi><mi>m</mi><mi>p</mi><mi>o</mi><mi>n</mi><mi>e</mi><mi>n</mi><mi>t</mi></mrow><mrow><mi>m</mi><mi>o</mi><mi>l</mi><mi>e</mi><mi>s</mi><mo>&#xA0;</mo><mi>o</mi><mi>f</mi><mi>a</mi><mi>l</mi><mi>l</mi><mo>&#xA0;</mo><mi>m</mi><mi>i</mi><mi>x</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>e</mi><mo>&#xA0;</mo><mi>c</mi><mi>o</mi><mi>m</mi><mi>p</mi><mi>o</mi><mi>n</mi><mi>e</mi><mi>n</mi><mi>t</mi><mi>s</mi></mrow></mfrac></menclose></math>


There are two gases, A and B, in a mixture. So the mole fraction of gas B is given by:


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