(C) Given:Volume $V = 4.0 \times 10^{-3} \, m^3$Total number of moles $n = 1 \, mol \, (H_2) + 2 \, mol \, (CO_2) = 3 \, mol$Temperature $T = 400 \, K

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(C) Given:Volume $V = 4.0 \times 10^{-3} \, m^3$Total number of moles $n = 1 \, mol \, (H_2) + 2 \, mol \, (CO_2) = 3 \, mol$Temperature $T = 400 \, K$Gas constant $R = 8.3 \, J \, mol^{-1} \, K^{-1}$Using the ideal gas equation $PV = nRT$,we can find the pressure $P$:$P = \frac{nRT}{V}$Substituting the values:$P = \frac{3 \times 8.3 \times 400}{4.0 \times 10^{-3}}$$P = \frac{9960}{4.0 \times 10^{-3}}$$P = 2490 \times 10^3 \, Pa = 24.9 \times 10^5 \, Pa$Therefore,the correct option is $C$.

Class 11 Physics Kinetic Theory of Gases Mixture of Gases

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$A$ cylindrical container of volume $4.0 \times 10^{-3} \, m^3$ contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is $400 \, K$. The pressure of the mixture of gases is:
[Take gas constant as $R = 8.3 \, J \, mol^{-1} \, K^{-1}$]

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A
$249 \times 10^1 \, Pa$
B
$24.9 \times 10^3 \, Pa$
C
$24.9 \times 10^5 \, Pa$
D
$24.9 \, Pa$

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$A$ cylindrical container of volume $4.0 \times 10^{-3} \, m^3$ contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is $400 \, K$. The pressure of the mixture of gases is:[Take gas constant as $R = 8.3 \, J \, mol^{-1} \, K^{-1}$]

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$A$ mixture of two non-reactive ideal gases is enclosed in a vessel consisting of one mole of a monatomic gas '$A$' and 'n' moles of a diatomic gas '$B$' at a temperature '$T$'. If the adiabatic constant of the gaseous mixture is $\frac{13}{9}$,then the value of 'n' is:

$22 \ g$ of carbon dioxide at $27^{\circ} C$ is mixed in a closed container with $16 \ g$ of oxygen at $37^{\circ} C$. If both gases are considered as ideal gases,then the temperature of the mixture is nearly: (in $^{\circ} C$)

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$A$ cylindrical container of volume $4.0 \times 10^{-3} \, m^3$ contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is $400 \, K$. The pressure of the mixture of gases is:
[Take gas constant as $R = 8.3 \, J \, mol^{-1} \, K^{-1}$]