Discharge Volume Given Compression Ratio Calculator

Formula Used:

\[ \text{Discharge Volume} = \frac{\text{Suction Volume}}{\text{Compression Ratio}} \] \[ V_2 = \frac{V_s}{r} \]

Discharge Volume (V₂):

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1. What is the Discharge Volume Given Compression Ratio Formula?

The Discharge Volume Given Compression Ratio formula calculates the volume of refrigerant after compression based on the suction volume and compression ratio. It is a fundamental equation in thermodynamics and refrigeration systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_2 = \frac{V_s}{r} \]

Where:

\( V_2 \) — Discharge Volume (m³)
\( V_s \) — Suction Volume (m³)
\( r \) — Compression Ratio (dimensionless)

Explanation: The formula demonstrates the inverse relationship between compression ratio and discharge volume - as compression ratio increases, discharge volume decreases proportionally.

3. Importance of Discharge Volume Calculation

Details: Accurate discharge volume calculation is crucial for designing and analyzing refrigeration systems, compressors, and thermodynamic cycles. It helps in determining system efficiency, capacity, and performance characteristics.

4. Using the Calculator

Tips: Enter suction volume in cubic meters and compression ratio as a dimensionless value. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is compression ratio in refrigeration systems?
A: Compression ratio is the ratio of absolute discharge pressure to absolute suction pressure in a compressor.

Q2: Why does discharge volume decrease with higher compression ratio?
A: Higher compression ratios mean the refrigerant is compressed to a smaller volume, resulting in reduced discharge volume.

Q3: What are typical compression ratio values?
A: Compression ratios typically range from 2:1 to 10:1 in most refrigeration and air conditioning systems.

Q4: Can this formula be used for gases other than refrigerants?
A: Yes, the formula applies to any gas undergoing compression, though specific gas properties may affect actual performance.

Q5: How does temperature affect this calculation?
A: While the basic volume relationship holds, temperature changes during compression affect gas density and may require additional calculations for precise results.