Answer: The number of moles of nitrogen gas is 0.030 moles
Step-by-step explanation:
To calculate the number of moles of nitrogen, we use the equation given by ideal gas which follows:

where,
P = pressure of the nitrogen gas = 2.96 atm
V = Volume of the gas = 0.25 L
T = Temperature of the gas = 300 K
R = Gas constant =

n = number of moles of nitrogen gas = ?
Putting values in above equation, we get:

Hence, the number of moles of nitrogen gas is 0.030 moles