1. What is Molar Volume?

Molar volume is the volume occupied by one mole of a substance at a given temperature and pressure. For ideal gases, it can be calculated using the ideal gas law and is approximately 22.4 L/mol at standard temperature and pressure (STP).

2. How Does the Calculator Work?

The calculator uses the ideal gas law formula:

Where:

• \( V_m \) — Molar volume (L/mol)
• \( R \) — Gas constant (0.0821 L·atm/mol·K)
• \( T \) — Temperature (K)
• \( P \) — Pressure (atm)

Explanation: This equation derives from the ideal gas law PV = nRT, solving for volume per mole (V/n).

3. Importance of Molar Volume Calculation

Details: Molar volume is essential in stoichiometric calculations, gas law applications, and understanding the behavior of ideal gases under different conditions of temperature and pressure.

4. Using the Calculator

Tips: Enter the gas constant (typically 0.0821 L·atm/mol·K), temperature in Kelvin, and pressure in atmospheres. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the standard molar volume at STP?
A: At standard temperature and pressure (0°C and 1 atm), the molar volume of an ideal gas is approximately 22.4 L/mol.

Q2: How does temperature affect molar volume?
A: Molar volume increases with increasing temperature, as gases expand when heated according to Charles's Law.

Q3: How does pressure affect molar volume?
A: Molar volume decreases with increasing pressure, as gases are compressed under higher pressure according to Boyle's Law.

Q4: Is this calculation accurate for real gases?
A: This calculation is for ideal gases. Real gases deviate from ideal behavior, especially at high pressures and low temperatures.

Q5: What are common units for molar volume?
A: Common units include liters per mole (L/mol), cubic meters per mole (m³/mol), and cubic decimeters per mole (dm³/mol).