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In the mixture of nonreacting ideal gases, the partial pressure of gas, mole fraction of gas, and total pressure of mixture are related asA. `p_(gas) = (p t o t a l)/(chi_(gas))`B. `p_(gas) = chi_(gas) p_(t o t a l)`C. `p_(gas) = p_(t o t a l)chi_(gas)^(2)`D. `p_(gas) = (chi_(gas))/(p_(t o t al))` |
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Answer» Correct Answer - B Consider a mixture of two nonreacting ideal gases `A` and `B` in a closed container of volume `V` at temperature `T`. `p_(A)V = n_(A)RT` `p_(B)V = n_(B)RT` `p_(t o t a l)V = n_(t o t al)RT` On dividing `p_(A)` by `p_(t o tal)`, we get `(p_(A))/(p_(t o tal)) = chi_(A)` where `chi_(A)` is called the mole fraction of gas `A`. Thus, `p_(A) = chi_(A) p_(t o tal)` In general, `p_(i) = chi_(i)p_(t o tal)` where `p_(i)` and `chi_(i)` , respectively are partial pressure and mole fraction of the `ith` gas. |
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