1. What is Specific Volume?

Specific volume (v) is an intensive property of a substance defined as the volume occupied by a unit mass of the substance. For ideal gases, it can be calculated using the ideal gas law.

2. How Does the Calculator Work?

The calculator uses the ideal gas law equation:

Where:

• \( v \) — Specific volume (m³/mol)
• \( R \) — Universal gas constant (8.314 J/mol·K)
• \( T \) — Absolute temperature (K)
• \( P \) — Pressure (Pa)

Explanation: The equation relates the specific volume of an ideal gas to its temperature and pressure, with the gas constant as the proportionality factor.

3. Importance of Specific Volume Calculation

Details: Specific volume is crucial in thermodynamics for analyzing gas behavior, designing systems, and calculating other thermodynamic properties.

4. Using the Calculator

Tips: Enter the gas constant (typically 8.314 J/mol·K), temperature in Kelvin, and pressure in Pascals. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for specific volume?
A: For air at STP (273.15K, 101325 Pa), specific volume is about 0.0224 m³/mol.

Q2: Does this work for real gases?
A: The equation is accurate for ideal gases. For real gases, more complex equations of state should be used.

Q3: What are common units for specific volume?
A: Common units include m³/mol (shown here), m³/kg, and L/mol (1 m³ = 1000 L).

Q4: How does temperature affect specific volume?
A: At constant pressure, specific volume increases linearly with temperature for ideal gases.

Q5: What's the relationship between specific volume and density?
A: Specific volume is the reciprocal of molar density (1/v = n/V).