Q5 / 160 · AP EAMCET 2016 · Chemistry

Which one of the following is the kinetic energy of a gaseous mixture containing $3 \mathrm{~g}$ of hydrogen and $80 \mathrm{~g}$ of oxygen at temperature $T(K)$ ?

  • A
    $3RT$
  • Correct answer
    B
    $6RT$
  • C
    $4RT$
  • D
    $8RT$

Solution

Number of moles of hydrogen $=\frac{3 g}{2 g \mathrm{~mol}^{-1}}=1.5$ Number of moles of oxygen $=\frac{80 \mathrm{~g}}{32 \mathrm{~g} \mathrm{~mol}^{-1}}=2.5=2.5$ Total number of moles in gaseous mixture of hydrogen and oxygen, $\begin{aligned} & n=1.5+2.5=4 \\ & \mathrm{KE}=\frac{3}{2} n R T=\frac{3}{2} \times 4 \times R T=6 R T \end{aligned}$

Hence, the correct answer is option: 'B'.

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