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Problem $14\mathrm{.}013-$ Determine mass fraction, mole fraction and the average of molar mass and gas constant

A gas mixture consists of $9\mathrm{.}00$ kg of $O_2,10\mathrm{.}00kg$ of $N_2,$ and $12\mathrm{.}00$ kg of $C{O}_2.$

Problem $14\mathrm{.}013.$c $-$ Molar mass and gas constant

Determine the average molar mass and gas constant of the mixture. The universal gas constant is $\%$media:formula $918.mml\%.$

The average molar mass is $k\frac{g}{k}$mol. $($Round the final answer to two decimal places.$)$

The gas constant of the mixture is $k\frac{J}{k}g*K.($Round the final answer to four decimal places.$)$