Assuring Ideal behavior, find out the total pressure exerted by 2gm ethane and 3gm $C O_{2}$ , contained in a vessel of 8 litre capacity at $47^{\circ} C$

0.334 atm

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0.934 atm

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2.06 atm

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0.434 atm

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Solution

The correct option is D 0.434 atm
Number of moles of Ethane $(n_{1})$ = $\frac{2}{30} = 0.0667$
Number of moles of $C O_{2} (n_{2}) = \frac{3}{44} = 0.0682$
$∴$ Total number of moles $(n_{1} + n_{2}) = 0.1349$
Temperature = 273 + 47 = 320 k
According to Ideal Gas Equation,
PV = nRT
By Question, n= $n_{1} + n_{2}$
$∴ P V = (n_{1} + n_{2}) R T$
or $P = \frac{(n_{1} + n_{2}) R T}{V} = \frac{0.1349 \times 0.0821 \times 320}{8}$
or,P=0.443 atm

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Assuring Ideal behavior, find out the total pressure exerted by 2gm ethane and 3gm CO2, contained in a vessel of 8 litre capacity at 47∘C

Assuring Ideal behavior, find out the total pressure exerted by 2gm ethane and 3gm $C O_{2}$ , contained in a vessel of 8 litre capacity at $47^{\circ} C$