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How many moles of N2 are in a flask with a volume of 0.5 L at a pressure of 400.0 kPa and a temperature of 300.0 K?

User Eric Brown
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1 Answer

6 votes

Answer:

0.08moles

Step-by-step explanation:

Given parameters:

Volume of gas = 0.5L

Pressure of gas = 400kPa

Temperature of gas = 300K

Unknown:

Number of moles of N₂ = ?

Solution:

Applying the ideal gas law which is a combination of the three gas law: Boyle's law, Charles's law and Avogadro's law will solve this problem.

The ideal gas law is stated as;

PV = nRT

P is the pressure of the gas

V is the volume of the gas

n is the number of moles

R is the gas constant

T is the temperature of the gas

We need to convert kPa of the pressure to atm which is a more comfortable unit to work with.

400kPa will be
(400)/(101.325) = 3.95atm

Input the variables in the equation;

3.95 x 0.5 = n x 0.082 x 300

n = 0.08moles

User Sherese
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