A sample of nitrogen gas is sealed in a rigid tank with a volume of 8.0 Lat a pressure of 4.0 atm and a temperature of 20°C. How many moles of nitrogen gas are in the tank?

Answer 1

To calculate the number of moles of nitrogen gas in the tank, we can use the ideal gas law equation:

PV = nRT

where:
P = pressure (4.0 atm)
V = volume (8.0 L)
n = number of moles
R = ideal gas constant (0.0821 L.atm/mol.K)
T = temperature in Kelvin (20°C = 293 K)

Plugging in the values:

4.0 atm * 8.0 L = n * (0.0821 L.atm/mol.K) * 293 K

32 = 23.9733 n

n = 32 / 23.9733
n ≈ 1.334 moles

Therefore, there are approximately 1.334 moles of nitrogen gas in the tank.