Need calculate the number moles nitrogen and the total number moles the mixture

To find the mole fraction of nitrogen in the mixture, we need to calculate the number of moles of nitrogen and the total number of moles in the mixture.

First, let's calculate the number of moles of nitrogen using the ideal gas law:

n = number of moles of nitrogen (unknown)

R = ideal gas constant (0.0821 L·atm/(mol·K))

Now, let's convert the pressure from mmHg to atm:

1 atm = 760 mmHg

We know that the mass of nitrogen is 5.6 g, so we can calculate the moles of nitrogen using its molar mass:

Molar mass of nitrogen (N₂) = 28.02 g/mol

X_N2 = moles of nitrogen / total moles in the mixture

The total mole in the mixture is equal to the moles of nitrogen: