a sample mixture of ch4 and c2h6 weighing 0.732 g burned to give 2.064 g co2. What is the mass of ch4 in the mixture?

To find the mass of CH4 in the mixture, we need to determine the amount of CH4 and C2H6 burned in the reaction.

1. Calculate the number of moles of CO2 produced:
- The molar mass of CO2 = 44.01 g/mol
- Moles of CO2 = Mass of CO2 / Molar mass of CO2 = 2.064 g / 44.01 g/mol = 0.0469 mol CO2

2. Since the ratio of CH4 to CO2 in the reaction is 1:1, the moles of CH4 will also be 0.0469 mol.

3. Calculate the mass of CH4:
- The molar mass of CH4 = 16.04 g/mol
- Mass of CH4 = Moles of CH4 x Molar mass of CH4 = 0.0469 mol x 16.04 g/mol ≈ 0.752 g

Therefore, the mass of CH4 in the mixture is approximately 0.752 g.

To find the mass of CH4 in the mixture, we need to use stoichiometry and the principle of conservation of mass.

Here's how you can solve it step by step:

Step 1: Write the balanced chemical equation for the combustion reaction of CH4 (methane) and C2H6 (ethane) to form CO2 (carbon dioxide).
CH4 + 2O2 → CO2 + 2H2O

Step 2: Determine the molar mass of CH4 and CO2.
The molar mass of CH4 (methane) = 12.01 g/mol (C) + (4 * 1.008 g/mol) (H) = 16.04 g/mol
The molar mass of CO2 (carbon dioxide) = (12.01 g/mol) (C) + (2 * 16.00 g/mol) (O) = 44.01 g/mol

Step 3: Calculate the moles of CO2 produced.
Moles of CO2 = mass of CO2 / molar mass of CO2
Moles of CO2 = 2.064 g / 44.01 g/mol
= 0.0469 mol

Step 4: Use stoichiometry to determine the ratio of moles between CH4 and CO2 in the balanced chemical equation.
From the balanced equation, we can see that 1 mol of CH4 produces 1 mol of CO2.
So, the moles of CH4 = moles of CO2

Step 5: Calculate the mass of CH4 using its molar mass.
Mass of CH4 = moles of CH4 x molar mass of CH4
Mass of CH4 = 0.0469 mol x 16.04 g/mol
= 0.765 g

Therefore, the mass of CH4 in the mixture is 0.765 g.

Don't get sloppy in chemistry with no caps.

Let x = mass CH4
and y = mass C2H6 and set up two equations and solve simultaneously.
-----------------------------------
x+y=0.732
(x*44/16) + (2y*44/30) = 2.065
Post your work if you get stuck.