Answer: The number of moles of nitrogen gas is 0.030 moles
Explanation:
To calculate the number of moles of nitrogen, we use the equation given by ideal gas which follows:
[tex]PV=nRT[/tex]
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 = [tex]0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]
n = number of moles of nitrogen gas = ?
Putting values in above equation, we get:
[tex]2.96atm\times 0.25L=n\times 0.0821\text{ L. atm }mol^{-1}K^{-1}\times 300K\\\\n=\frac{2.96\times 0.25}{0.0821\times 300}=0.030mol[/tex]
Hence, the number of moles of nitrogen gas is 0.030 moles
