From the periodic table, we can find that:
molecular mass of carbon = 12 grams
molecular mass of hydrogen = 1 gram
Therefore, molar mass of methane = 4(1) + 12 = 16 grams
Now we need to calculate the mass of 5.6 moles.
Number of moles can be calculated using the following rule:
number of moles = mass / molar mass
This means that:
mass = number of moles x molar mass
mass = 5.6 x 16 = 89.6 grams
There are 89.6 grams of methane in 5.6 moles.
Now, for the volume of the gas:
At standard temperature and pressure conditions, one mole of gas occupies 22.4 liters, we can simply use cross multiplication to find the volume that 5.6 moles occupies as follows:
volume of 5.6 moles = (5.6 x 22.4) / 1 = 125.44 liters