If 56 g N2 and 64 g CH4 are mixed with 80 g SO3 gas, then mole fraction of CH4 is

To find the mole fraction of CH4, we first need to find the number of moles of each gas.

1. The molar mass of N2 (Nitrogen) is approximately 28 g/mol, CH4 (Methane) is approximately 16 g/mol, and SO3 (Sulfur trioxide) is approximately 80 g/mol.

2. Calculate the number of moles for each gas:

   • Moles of N2 = 56 g / 28 g/mol = 2 moles
   • Moles of CH4 = 64 g / 16 g/mol = 4 moles
   • Moles of SO3 = 80 g / 80 g/mol = 1 mole

3. Calculate the total number of moles:

   • Total moles = Moles of N2 + Moles of CH4 + Moles of SO3
   • Total moles = 2 moles + 4 moles + 1 mole = 7 moles

4. Calculate the mole fraction of CH4:

   • Mole fraction of CH4 = Moles of CH4 / Total moles
   • Mole fraction of CH4 = 4 moles / 7 moles = 0.57 (rounded to two decimal places)

So, the mole fraction of CH4 is 0.57.