Question

A sample of nitrogen gas is sealed in a rigid tank with a volume of 8.0 L at a pressure of 4.0 atm and a temperature of 20°C how many moles of nitrogen gas are in the tank

Answer 1

We can use the ideal gas law to solve this problem:

PV = nRT

where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature in Kelvin.

First, we need to convert the temperature from Celsius to Kelvin:

T(K) = T(°C) + 273.15 = 20°C + 273.15 = 293.15 K

Now we can substitute the given values into the ideal gas law equation:

(4.0 atm)(8.0 L) = n(0.08206 L·atm/mol·K)(293.15 K)

Simplifying, we get:

32.0 = 0.08206n

n = 389.9 mol

Therefore, there are approximately 390 moles of nitrogen gas in the tank.