The Ideal Gas Law Derivations Practice Problems

Nitrous oxide (N₂O) gas is widely used in automotive industries to improve engine performance. At an unknown temperature, the volume of an N₂O gas sample is 0.758 L. At constant pressure and amount of gas, the volume of the gas decreases to 0.494 L when the temperature is 30.0°C. Determine the initial temperature (in °C) of the gas.

A 1.75-L container contains a sample of nitrogen gas that exerts a pressure of 1.44 atm at 45°C. Calculate the pressure if the volume of the container remains constant and the temperature is raised to 425°C.

At 298 K and 723 torr, a sample of nitrogen has a volume of 38.55 mL. If the pressure is increased to 925 torr at a constant temperature, what volume would nitrogen occupy?

Inside a prep shed where the temperature is 18.°C, an arctic weather balloon is filled with 2.15 L of helium gas. Calculate the new volume (L) of the balloon once it is taken outside where the temperature is –52°C. Assume that the pressure remains constant at 1 atm and round the answer to 3 significant digits.

What volume will the N₂O₄ occupy if 45.0 mL of NO₂ gas is completely converted to N₂O₄ under the same conditions?

2NO₂(g) → N₂O₄(g)