A catalytic converter in an automobile uses a palladium or platinum catalyst to convert carbon monoxide gas to carbon dioxide according to the following reaction: 2CO(g) + O2 (g) --> 2CO2(g) A chemist researching the effectiveness of a new catalyst combines a 2.0 : 1.0 mole ratio mixture of carbon monoxide and oxygen gas (respectively) over the catalyst in a 2.45L flask at a total pressure of 740 torr and a temperature of 552 C . When the reaction is complete, the pressure in the flask has dropped to 552 torr. What percentage of the carbon monoxide was converted to carbon dioxide?

The fraction or the percentage of the carbon monoxide converted to carbon dioxide is 76%.

Given:

Ratio of new catalyst to the mole ratio of carbon dioxide and oxygen  = 2:1

Volume = 2.45 L

Temperature = 825 K

Pressure = 740 torr

The reaction is:

2CO(g) + O₂ (g) 2CO₂

From the reaction, the amount of CO converted into carbon dioxide is:

Where,

P₁ = initial pressure

n₁ = number of moles (initial)

P₂ = final pressure

n₂ = final number of moles

Now, calculating the n₂:

n₂ = 2.24 moles.

Now, the total moles of carbon monoxide is:

2.24 = 2 x Y + 3 x (1 - Y)

2.24 = 2Y + 3 - 3Y

Y = 0.76

Thus, the number of a fraction of CO is 0.76.

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the fraction of CO reacted is 0.76 or 76.0 %

Explanation:

Step 1: Data given

a new catalyst combines a 2.0 : 1.0 mole ratio mixture of carbon monoxide and oxygen gas

Volume = 2.45 L

Total pressure = 740 torr

Temperature = 552 °C = 825 K

Pressure decreases to 552 torr

Step 2: The balanced equation

2CO(g) + O2 (g) --> 2CO2(g)

Step 3: Calculate the percentage of the CO was converted to CO2

P1/n1 = P2/n2

⇒P1 = the initial pressure = 740 torr

⇒n1 = the initial number of moles = 2.0 moles CO and 1 mol of O2 = 3.0 moles

⇒P2 = the final pressure = 552 torr

⇒n2 = the final number of moles = TO BE DETERMINED

n2 = n1 * P2/P1

n2 =3.0 * 552 torr / 740 torr

n2 = 2.24 moles

Step 4: Calculate total moles of CO

Suppose X = the fraction of CO

final = 2*(x) + 3*(1-x)

2.24 = 2x + 3 - 3x

2.24 = -X + 3

-0.76 = -X

X = 0.76

This means the fraction of CO reacted is 0.76 or 76.0 %

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