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  3. Chemistry
  4. The pressure exerted by a non-reactive gaseous mixture of 6.4 g of methane and 8.8 g of carbon dioxide in a 10 L vessel at 27° C is kPa. (Round off to the Nearest Integer). [Assume gases are ideal, R =8.314 J mol -1 K -1 Atomic masses: C: 12.0 u , H: 1.0 u , O: 16.0 u ]

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Q. The pressure exerted by a non-reactive gaseous mixture of $6.4\,g$ of methane and $8.8\, g$ of carbon dioxide in a 10 L vessel at $27^{\circ} C$ is _______ $\quad kPa$.
(Round off to the Nearest Integer). [Assume gases are ideal, $R =8.314\,J\,mol ^{-1} K ^{-1}$
Atomic masses : $C : 12.0\,u , H : 1.0\,u , O : 16.0\,u ]$

JEE MainJEE Main 2021States of Matter

Solution:

Total moles of gases, $n = n _{ CH _{4}}+ n _{ CO _{2}}$

$=\frac{6.4}{16}+\frac{8.8}{44}=0.6$

$\text { Now, }P =\frac{ nRT }{ V }=\frac{0.6 \times 8.314 \times 300}{10 \times 10^{-3}} $

$=1.49652 \times 10^{5} Pa =149.652\,\,kPa$

$\approx 150\,\,kPa$