How to Calculate Volume of Gas Using the Ideal Gas Law

What is the volume of a sample of sulfur dioxide at different conditions?

A sample of sulfur dioxide occupies a volume of 652 mL at 40.0°C and 0.75 atm. What volume will the sulfur dioxide occupy at STP?

Answer:

The volume that sulfur dioxide will occupy with a volume of 652 mL at 40.0°C and 0.75 atm is 0.019 moles.

When determining the volume of a gas under different conditions, the Ideal Gas Law can be used to calculate the volume. In this case, the gas in question is sulfur dioxide.

How to Calculate Volume Using the Ideal Gas Law:

The Ideal Gas Law formula is PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas law constant, and T is the temperature.

By substituting the values given into the formula, we have:

0.75 × 0.652 = n × 0.0821 × 313

0.489 = 25.69n

n = 0.489/25.69

n = 0.019 moles

Therefore, the volume of sulfur dioxide at STP (Standard Temperature and Pressure) will be 0.019 moles when it was originally at 652 mL, 40.0°C, and 0.75 atm.

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