A container contains 45.2 L of N2 gas at STP. How many moles of N2 gas are in the container?

Considering the definition of STP conditions, 2.02 moles of N₂ gas are in the container.

The STP conditions refer to the standard temperature and pressure. Pressure values at 1 atmosphere and temperature at 0 ° C are used and are reference values for gases. And in these conditions 1 mole of any gas occupies an approximate volume of 22.4 liters.

You can apply the following rule of three: if by definition of STP conditions 1 mole of N₂ occupies a volume of 22.4 liters, how many moles of N₂ occupy a volume of 45.2 L?

amount of moles= 2.02 moles

Finally, 2.02 moles of N₂ gas are in the container.

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The number of moles of N₂ gas in the container is approximately 2.02 moles

Explanation:

We re told that;

Volume of container = 45.2 L

Container Content is N₂, nitrogen gas at STP, Standard Temperature and Pressure

Standard Temperature = 273.15 K

Standard Pressure = 1 atmosphere

We can find the number of moles from the universal gas equation as follows;

Universal gas equation: P·V = n·R·T

Therefore;

Where:

n = Number of moles

P = Pressure = 1 atmosphere

V = Volume = 45.2 L

T = Temperature = 273.15 K

R = Universal Gas Constant = 0.08205 L·atm/(mol·K)

Plugging in the values gives;

Therefore, the number of moles of N₂ gas in the container = 2.01678 moles or ≈ 2.02 moles.

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