A sample of argon gas is at a pressure of 122 atm and a temperature of 24 degrees Celsius in a rigid 25 L tank. How many moles of argon does this tank contain?

The answer to your question is n = 125.2 moles

Explanation:

Data

Pressure = P = 122 atm

Temperature = T = 24°C

Volume = V = 25 L

moles = n = ?

Ideal gas constant = R = 0.082 atm L / mol°K

Process

1. - Convert temperature to °K

Temperature = 24 + 273 = 297°K

2. - Use the ideal gas equation to solve this problem

PV = nRT

-Solve for n

n = PV / RT

-Substitution

n = (122 x 25) / (0.082 x 297)

-Simplification

n = 3050 / 24.354

-Result

n = 125.2 moles