Number of moles of methane required to produce 22 gCO2( g) after combustion is x×10−2 moles. The value of x is

The balanced chemical equation for the combustion of methane (CH4) is:

CH4(g) + 2O2(g) → CO2(g) + 2H2O(l)

From this equation, we can see that one mole of methane (CH4) produces one mole of carbon dioxide (CO2).

The molar mass of CO2 is approximately 44.01 g/mol.

Given that we have 22 g of CO2, we can calculate the number of moles of CO2 using the formula:

Number of moles = mass / molar mass

So, the number of moles of CO2 is 22 g / 44.01 g/mol = 0.5 mol

Since the ratio of CH4 to CO2 is 1:1, the number of moles of CH4 required is also 0.5 mol.

However, the question asks for the answer in the form x×10−2 moles.

To convert to this form, we multiply the number of moles by 10^2:

0.5 mol * 10^2 = 50

So, x = 50.