when carbon is burned in the air, it reacts with oxygen to form carbon dioxide. when 22.8 g of carbon were burned in the presence of 79.0 of oxygen, 18.2g of oxygen remained unreacted. what mass if carbon dioxide was produced?​

Respuesta :

Answer:

So there is83.6g CO2 produced

Explanation:

Burning carbon with air has the following equation

C + O2 → CO2

For 1 mol Carbon, we have 1 mol O2 and 1 mol CO2

Step 2: Calculating moles

mole C = 22.8g / 12g/mole

Mole C = 1.9 mole

1.9 mole C will completely react

Since for each mole C there is 1 mole O2 and 1 mole CO2

This means there will also react 1.9 mole of 02, to be formed 1.9 mole of CO2

mole CO2 = mass CO2 / Molar mass CO2

mass CO2 = 1.9 mole CO2 * 44g/mole =83.6g CO2

In this reaction 18.2 g of O2 remained unreacted

we can control this: 79g - 18.2 g = 60.8g

1.9 mole * 32g/mol = 60.8g

So there is83.6g CO2 produced

83.6g of [tex]\rm CO_{2}[/tex] will be produced.

When the carbon dioxide reacts with the oxygen to yield carbon dioxide then the reaction is called the combustion reaction and heat or light is also produced in the form of flames.

How to calculate the mass of carbon dioxide?

Given,

  • Mass of Carbon = 22.8 g
  • The total mass of the Oxygen atom = 79.0 g
  • Mass of the unreacted oxygen = 18.2 g
  • Mass of the [tex]\rm CO_{2}[/tex] = ?

The reaction can be shown as,

[tex]\rm C + O_{2} \rightarrow \rm CO_{2}[/tex]

Calculate the moles of carbon:

[tex]\begin{aligned}\rm Moles (n) &= \dfrac{\rm mass}{\rm molar \;mass}\\\\\rm n &= \dfrac{22.8}{12}\\\\\rm n &= 1.9 \;\rm mol\end{aligned}[/tex]

1 mole of oxygen = 1 mole of carbon dioxide

So, 1.9 moles of oxygen will be needed for 1.9 moles of carbon dioxide

Mass of carbon dioxide will be calculated as:

[tex]\begin{aligned}\rm Mass (m) &= \rm moles \times \rm molar \; mass\\\\&= 1.9 \times 44\\\\&= 83.6 \;\rm g\end{aligned}[/tex]

Since, 18.2 g of oxygen is left unreacted, therefore:

[tex]\begin{aligned}&=79 \;\rm g - 18.2 \;\rm g\\\\&= 60.8\;\rm g\end{aligned}[/tex]

Can also be calculated as,

[tex]\begin{aligned}\rm Mass &= 1.9 \;\rm moles \times 32 \;\rm g/mol\\\\&= 60.8\;\rm g \end{aligned}[/tex]

Therefore, 83.6g  of [tex]\rm CO_{2}[/tex] will be produced.

Learn more about combustion reaction here:

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