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Molar Specific Volume Formula

Molar Specific Volume Formula:

\[ V_m = \frac{V}{n} \]

mol

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1. What is Molar Specific Volume?

Molar specific volume (V_m) is the volume occupied by one mole of a substance. It represents the specific volume per mole and is a fundamental thermodynamic property used in chemistry and physics to characterize substances and their behavior under different conditions.

2. How Does the Calculator Work?

The calculator uses the molar specific volume formula:

\[ V_m = \frac{V}{n} \]

Where:

Explanation: This formula calculates the volume occupied per mole of substance by dividing the total volume by the number of moles present.

3. Importance of Molar Volume Calculation

Details: Molar volume is crucial for understanding gas behavior, calculating densities, determining molecular sizes, and solving problems in thermodynamics and chemical engineering. It's particularly important in ideal gas law applications and phase behavior studies.

4. Using the Calculator

Tips: Enter volume in cubic meters (m³) and number of moles. Both values must be positive and non-zero. For gases at standard conditions, molar volume is approximately 0.0224 m³/mol.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between specific volume and molar volume?
A: Specific volume is volume per unit mass (m³/kg), while molar volume is volume per mole (m³/mol). They are related through the molar mass of the substance.

Q2: What is the molar volume of an ideal gas at STP?
A: At standard temperature and pressure (STP), one mole of an ideal gas occupies approximately 22.4 liters or 0.0224 m³.

Q3: How does molar volume change with temperature and pressure?
A: For ideal gases, molar volume increases with temperature and decreases with pressure according to the ideal gas law: V_m = RT/P.

Q4: Can molar volume be used for liquids and solids?
A: Yes, molar volume applies to all states of matter, though it's most commonly discussed for gases. For liquids and solids, it's much smaller and less temperature/pressure dependent.

Q5: How is molar volume related to density?
A: Molar volume is the inverse of molar density. Density (ρ) = molar mass (M) / molar volume (V_m).

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