The capacity of a vessel is 3 L. It contains 6 g oxygen, 8 g nitrogen and 5 g CO2 mixture at 27oC. If R = 8.3 1 J/mol K, then the pressure in the vessel in N/m2 will be (approx.) :
Answer & explanation
Correct answer: option 1
By Dalton's Law :
\(P = P_1 + P_2 + P_3\)
\(P = \frac{\mu_1 RT}{V} + \frac{\mu_2 RT}{V} + \frac{\mu_3 RT}{V}\)
\(P = \frac{RT}{V} [\mu_1 + \mu_2 + mu_3] \)
\(P = \frac{RT}{V} [\frac{m_1}{M_1} + \frac{m_2}{M_2} + \frac{m_3}{M_3}]\)
\(P = \frac{8.31*300}{3*10^{-3}} [\frac{6}{32} + \frac{8}{28} + \frac{5}{44}]\)
\(P = 498*10^3 ≈ 500*10^5 = 5*10^5\)