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Ideal Gas Equation

At a pressure...

Question

At a pressure of 760 torr and temperature of $273 K$ , the indicated volume of which system is not consistent with the observation

A

14 g of N_{2} + 8 g of O_{2}; volume = 22.4 L

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B

4 g of H e + 44 g of C O_{2}; volume = 44.8 L

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C

7 g of N_{2} + 36 g of O_{3}; volume = 22.4 L

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D

17 g of N H_{3} + 36.5 g of H C l; volume = 44.8 L

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Solution

The correct option is A $14 g of N_{2} + 8 g of O_{2}; volume = 22.4 L$
Pressure P = 760 torr = 1 atm
T = 273 K
Total moles, n = $\frac{14}{28}$ + $\frac{8}{32}$ = 0.75 mol
Using ideal gas equation, PV = nRT
V = $\frac{n R T}{P}$ = $\frac{0.75 \times 0.0821 \times 273}{1}$ = 16.8 L
So option (a) is inconsistent.
Rest all options are consistent.

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Ideal Gas Equation

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