Question

The capacity of a vessel is 3 litres. It contains 6 gm oxygen, 8 gm nitrogen and 5 gm$CO_{2}$ mixture at 27°C. If R = 8.31 J/mole × kelvin, then the pressure in the vessel in $N/m^{2}$ will be (approx.)

• A. $5 \times 10^{5}$
• B. $5 \times 10^{4}$
• C. $10^{6}$
• D. $10^{5}$

Answer 1

Answer: (A)

$5 \times 10^{5}$

Answer 2

Dalton’s law $= \frac{RT}{V}\left\lbrack \frac{m_{1}}{M_{1}} + \frac{m_{2}}{M_{2}} + \frac{m_{3}}{M_{3}} \right\rbrack = \frac{8.31 \times 300}{3 \times 10^{- 3}}\left\lbrack \frac{6}{32} + \frac{8}{28} + \frac{5}{44} \right\rbrack = 498 \times 10^{3}\widetilde{=}500 \times 10^{3}$.$\widetilde{=}5 \times 10^{5}N ⥂ ⥂ / ⥂ m^{2}$