A sample of oxygen gas contains 15.0 mol in a volume of 23.5 L. If the pressure and temperature are kept constant, but the volume is changed to 1.70L , how many moles of oxygen gas does the sample contain? Be sure your answer has the correct number of significant figures.

1 answer

Using the ideal gas law equation:

P1V1 / n1T1 = P2V2 / n2T2

Since pressure and temperature are constant, the equation simplifies to:

V1 / n1 = V2 / n2

Plugging in the numbers given:

23.5 L / 15.0 mol = 1.70 L / x

x = (1.70 L * 15.0 mol) / 23.5 L
x = 1.08 mol

Therefore, the sample of oxygen gas in the 1.70 L volume contains 1.08 mol of oxygen gas.