Hence 0.5 mole CH4 for 0.5 mole Co2which is 22 gms. 44g of CO2 isrequired to produce 1g of methane. From the equation it is evident 44g co2produced from 1 mol methane. So 22gCO2 is produced from 1/2 mol methane.

Understanding the Problem

To determine the number of moles of methane required to produce 22 g of CO2 (g), we need to understand the balanced chemical equation for the reaction. The balanced equation for the combustion of methane (CH4) is:

CH4 + 2O2 → CO2 + 2H2O

From the equation, we can see that one mole of methane produces one mole of CO2. Therefore, we need to calculate the number of moles of CO2 and convert it to moles of methane.

Calculating the Moles of CO2

To calculate the moles of CO2, we need to use the molar mass of CO2, which is 44 g/mol. We can use the following formula to calculate the number of moles:

moles = mass / molar mass

In this case, the mass of CO2 is given as 22 g. Substituting the values into the formula, we get:

moles of CO2 = 22 g / 44 g/mol = 0.5 mol

Converting Moles of CO2 to Moles of Methane

Since the balanced equation shows a 1:1 ratio between methane and CO2, the number of moles of methane required will be the same as the moles of CO2. Therefore, 0.5 moles of methane are required to produce 22 g of CO2.

Summary

To summarize, 0.5 moles of methane are required to produce 22 g of CO2. This calculation is based on the balanced chemical equation for the combustion of methane. By using the molar mass of CO2, we can convert the given mass of CO2 to moles, which gives us the number of moles of methane required.