Chemistry, 22.04.2020 03:59 davelopez979

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?

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Answer from: paul1963

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) $\rightarrow$ 2CO₂

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

$\dfrac{\text{P}_1}{\text n _1}&=\dfrac{\text{P}_2}{\text n _2}$

Where,

P₁ = initial pressure

n₁ = number of moles (initial)

P₂ = final pressure

n₂ = final number of moles

Now, calculating the n₂:

$\text n_2 &= \dfrac{\text n_1 \times \text P_2}{\text P_1}$

$\text n_2 &= \dfrac{3 \times 552}{740}$

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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Answer from: Hfruit

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 %

Answer from: Quest

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