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Chapter 3: Q3.133CP (page 137)

Hydrogen gas has been suggested as a clean fuel because it produces only water vapour when it burns.Ifthe reaction has a 98.8% yield, what mass of hydrogen forms 105 kg of water?

Short Answer

Expert verified

TheMass of hydrogen formed from of water is1.19×104g

Step by step solution

01

Calculation of theoretical yield of the water vapors:

Given:

Percentage yield of water vapor =98.8%

Mass of water =105kg

Percentage yield=Actual yield of waterTheoretical yield of water×100Theoretical yield of water =Actual yield of waterPercentage yield of water×100Theoretical yield of water=105kg98.8%×100=106kg

02

Step 2:Calculation of Hydrogen gas produced.

Let us calculate the mass of hydrogen gas from a theoretical yield of water.

2H2(g) +O2→2H2O(g)

Molar mass ofH2O = 18.02 g/mol

Molar mass of H2= 2.02 g/mol

1 kg = 103g

106 kg = 106×103g

Mass ofH2= 106×103g×1mol ofH2O18.02g ofH2O×2mol ofH22mol ofH2O×2.02g ofH21mol ofH2

Mass ofH2=1.19×104g

Result:

The mass of hydrogen gas produced is1.19×104g

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