Question #80263

10ml of the gaseous mixture of CO H2 and NH3 are completely oxidised by 8 ml O2 if the original mixture of CO H2 and NH3 contains equal volume of CO and H2 then what is the volume % of NH3 in original mixture?

Expert's answer

Answer on Question #80263 - Chemistry - Physical Chemistry

Question:

10ml of the gaseous mixture of CO H2 and NH3 are completely oxidised by 8 ml O2 if the original mixture of CO H2 and NH3 contains equal volume of CO and H2 then what is the volume % of NH3 in original mixture?

Solution:

2CO+O2=2CO22 \mathrm{CO} + \mathrm{O}_{2} = 2 \mathrm{CO}_{2}

2H2+O2=2H2O2 \mathrm{H}_{2} + \mathrm{O}_{2} = 2 \mathrm{H}_{2} \mathrm{O}

4NH3+7O2=4NO2+6H2O4 \mathrm{NH}_{3} + 7 \mathrm{O}_{2} = 4 \mathrm{NO}_{2} + 6 \mathrm{H}_{2} \mathrm{O}

Let V(CO)=V(H2)=xLV(CO) = V(H2) = xL , then V(NH3)=(0.012x)LV(NH3) = (0.01 - 2x)L ;

So, n(CO)=n(H2)=x/22.4moln(CO) = n(H2) = x / 22.4 \, \text{mol} , and n(NH3)=(0.012x)/22.4moln(NH3) = (0.01 - 2x) / 22.4 \, \text{mol} ;

n1(O2)=n2(O2)=n/2(CO;H2)=x/11.2moln1(O2) = n2(O2) = n / 2(CO;H2) = x / 11.2 \, \text{mol} ;

n3(O2)=7/4n(NH3)=7/4(0.012x)/22.4;n3(O2) = 7 / 4n(NH3) = 7 / 4(0.01 - 2x) / 22.4;

Vtotal(O2) = V1+V2+V3 = 2x+2x+(7/4 (0.01-2x)) = 0.01 L;

0.01=4x+0.01753.5x;0.01 = 4x + 0.0175 - 3.5x;

0.5x=0.00750.5x = 0.0075

X=3.5mLX = 3.5 \, \text{mL}

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