A mixture of \( 0.5 \) mole of \( \mathrm{CO} \) and \( 0.5 \) mole of \( \mathrm{CO}_{2} \) is ...

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A mixture of \( 0.5 \) mole of \( \mathrm{CO} \) and \( 0.5 \) mole of \( \mathrm{CO}_{2} \) is taken in a vessel and allowed to effuse out through a pin hole into another vessel which has vacuum. If a total of \( A \) mole has effused out in time \( t \), show that \( M_{1} A+M_{2}(1-A)=36 \), where \( M_{1} \) and \( M_{2} \) are mean molar masses of the mixture that has effused out and the mixture still remaining in vessel respectively.
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