Respuesta :
Answer: The number of moles of nitrogen gas is 0.505 moles.
Explanation:
To calculate the number of moles of nitrogen gas, we use ideal gas equation, which is:
[tex]PV=nRT[/tex]
where,
P = pressure of the gas = 4.27 atm
V = Volume of the gas = 2.96 L
T = Temperature of the gas = [tex]32.0^oC=[32.0+273]K=305K[/tex]
R = Gas constant = [tex]0.0821\text{ L. atm }mol^{-1}K^{-1}[/tex]
n = number of moles of gas = ?
Putting values in above equation, we get:
[tex]4.27atm\times 2.96L=n\times 0.0821\text{ L atm }mol^{-1}K^{-1}\times 305K\\n=0.505mol[/tex]
Hence, the number of moles of nitrogen gas is 0.505 moles.
Explanation:
The given data is as follows.
Volume = 2.96 L, Temperature = [tex]32.0^{o}C[/tex] = (32 + 273) K = 305 K,
Pressure = 4.27 atm, n = ?
And, according to ideal gas equation, PV = nRT
[tex]4.27atm \times 2.96 L= n \times 0.0821 Latm/mol K \times 305K[/tex]
n = [tex]\frac{12.64 atm L}{25.04 Latm/mol}[/tex]
= 0.505 mol
Thus, we can conclude that the number of moles of nitrogen gas in the container is 0.505 mol.
