Gaseous methane CH4 will react with gaseous oxygen O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. Suppose 0.963 g of methane is mixed with 2.0 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digit

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Asked Dec 12, 2019
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Gaseous methane 

CH4

 will react with gaseous oxygen 

O2

 to produce gaseous carbon dioxide 

CO2

 and gaseous water 

H2O

. Suppose 0.963 g of methane is mixed with 2.0 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Be sure your answer has the correct number of significant digit

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Expert Answer

Step 1

The given balanced reaction as follows,

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→ CO, (g) + 2H,0(1) CH (g)+ 20, (g) + 20, (g) → CO, (g) + 2H,0(1) CH, (g) 0.963g 2.0g Mass X 0.963 g 2.0g Moles 16.04g/mol 32g/mol = 0.0625 mole = 0.060 mol

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Step 2

1 mole of methane requires 2 moles of O2

0.060 moles of ethane requires ‘x’ mole of O2

Then, the moles of O2 is calculated as,

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(2 moleO,)(0.060 mole ethane) 1 mole ethane 'x' moles of O, 0.12mole O,.

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Step 3

Hence, the limiting reagent is O2.

2 mole of O2 produces 1 moles of CO2

0.0625 moles of O2 produces ‘x’ mole...

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(1 moleCO,)(0.0625 mole O, ) 2 mole O, 'x' moles of CO, 0.03125mole CO,.

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