A sample of carbon monoxide and oxygen gasses are allowed
to combust in a small flask. They reaction is described by the
following equation.

2CO (g) + O2 (g) → 2C02 (g)

After the reaction is complete, the pressure of CO2 is 0.868
atm and the temperature is 35.0 °C in a 500.0 mL flask. How
many moles of CO2 were produced assuming that the reaction
went to completion?

Respuesta :

A combustion reaction occurs in the presence of oxygen. The moles of carbon dioxide produced after the complete combustion is 0.0171 moles.

What is an ideal gas equation?

An ideal gas equation establishes the relation between temperature, pressure, volume, and the moles of the gas present in a system.

The ideal gas equation is given as:

[tex]\rm PV = \rm nRT[/tex]

Given,

Pressure (P) of carbon dioxide = 0.868 atm

Volume (V) of carbon dioxide = 0.5 L

Temperature (T) of carbon dioxide = 308.15 K

Substituting values in the ideal gas equation, n can be calculated as:

[tex]\begin{aligned} \rm n &= \rm \dfrac{PV}{RT}\\\\&= \rm \dfrac {0.868 \times 0.5}{ 0.0821 \times 308.15}\\\\&= 0.0171 \;\rm moles\end{aligned}[/tex]

Therefore, after the complete combustion, 0.0171 moles of carbon dioxide will be produced.

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After completing the reaction, moles of the produced carbon dioxide gas is  0.0171 moles.

How do we calculate the moles of gas?

Moles of gas will be calculated by using the ideal gas equation as:

PV = nRT, where

P = pressure of CO₂ = 0.868 atm

V = volume of flask = 500mL =0.5L

R = universal gas constant = 0.0821 L.atm / K.mol

T = temperature of CO₂ = 35°C = 308.15 K

n = moles of CO₂ = ?

On puttiung values on the above equation, we get the value of n as"
n = (0.868)(0.5) / (0.0821)(308.15)

n = 0.434 / 25.3 = 0.0171 moles

Hence required moles are 0.0171 moles.

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