A mixture of hydrogen and oxygen has volume 500 cm^3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen…

Question

A mixture of hydrogen and oxygen has volume 500 cm^3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen will be:

MARKS Content Team · Accepted Answer

Correct answer: (A) 16 : 3. A number of moles of, O_2=m_132, the number of moles of, H_2=m_22. Using the ideal gas equation, PV=m_132+m_2225/3×300, 400×10^3×500×10^(-6)=m_132+m_2225×100⇒2×10^2=m_1m_2×1/32+1/2m_2×25×100 ⇒2/25=m_1m_2×1/32+1/2m_(2 )...(1) ⇒m_1+m_2=0.76 ⇒m_21+m_1m_2=76/100 ...(2) (1) divided by (2) ; (m_1m_2×132+12)/(m_1m_2+1)=2/25×100/76 Let assume, ⇒m_1m_2=x⇒(x+16)/(32x+1)=8/76⇒ 76x+76×16=8×32x+8×32⇒76x+1216=256x+256 960=180x⇒x=96/18=16/3

A mixture of hydrogen and oxygen has volume $500 {cm}^{3},$ temperature $300 K,$ pressure $400 k Pa$ and mass $0.76 g .$ The ratio of masses of oxygen to hydrogen will be:

Solution

Relevant Questions

A mixture of hydrogen and oxygen has volume 500 cm3, temperature 300 K, pressure 400 kPa and mass 0.76 g. The ratio of masses of oxygen to hydrogen will be:

Solution

Relevant Questions

A mixture of hydrogen and oxygen has volume $500 {cm}^{3},$ temperature $300 K,$ pressure $400 k Pa$ and mass $0.76 g .$ The ratio of masses of oxygen to hydrogen will be: