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$22g$ of $CO_{2}$ at $27^{0}C$ is mined in a closed containers with $16g$ of $O_{2}$ at $37^{0}C$ If both gases are considered as ideal kinetic theory gases, then the temp of the mixture is.
Option: 1
$28.5^{0}C$

Option: 2
$30.5^{0}C$

Option: 3
$31.5^{0}C$

Option: 4
$33.0^{0}C$

Answers (1)

best_answer

Let $T$ be temperature of the mixtuire

Heat gained by $CO_2=$ Heat last by $O_2$

$n_1 C_1 \Delta T=n_2 C V_2 \cdot \Delta \cdot T$

$\left[\frac{1}{2}\right](3 R)(T-310)=\left[\frac{1}{2}\right]\left[\frac{5 R}{2}\right](310-T)$

$\begin{gathered} 6 T-1800=1550-5 T \\ T=304.54 \mathrm{~K} \\ T=31.5^{\circ} \mathrm{C} \end{gathered}$

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