Use the molar volume to calculate each of the following at STP: a. the number of moles of CO₂ in 4.00 L of CO₂ gas

Verified step by step guidance

1. Identify the molar volume of a gas at STP, which is 22.4 L/mol.
2. Use the formula: $\text{moles}=\frac{\text{volume of gas}}{\text{molar volume}}$.
3. Substitute the given volume of CO₂ gas (4.00 L) and the molar volume (22.4 L/mol) into the formula.
4. Calculate the number of moles by dividing the volume of CO₂ gas by the molar volume.
5. Express the result in terms of moles of CO₂.

Key Concepts

Molar Volume

Molar volume is the volume occupied by one mole of a substance at standard temperature and pressure (STP), which is defined as 0 degrees Celsius and 1 atmosphere of pressure. For gases, this volume is approximately 22.4 liters. Understanding molar volume is essential for converting between the volume of a gas and the number of moles present.

Standard Temperature and Pressure (STP)

Standard Temperature and Pressure (STP) is a reference point used in chemistry to provide a standard set of conditions for measuring gas properties. At STP, gases behave ideally, allowing for predictable calculations. Knowing the conditions of STP is crucial for accurately applying the molar volume in calculations involving gases.

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature. While not directly needed for this specific calculation, understanding this law provides a broader context for gas behavior and calculations.