Calculate volume from mass and specific gravity, or solve for mass, specific gravity or density, in kg, lb, liters or gallons with water as the reference.
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Volume from Specific Gravity Formula
The following formula is used to calculate the Volume from Specific Gravity.
- Where Vsg is the Volume from Specific Gravity (m^3)
- m is the mass of the substance (kg)
- SG is the specific gravity
To calculate volume in cubic meters, divide mass in kilograms by specific gravity times its reference density in kg/mยณ. The 998.2 value used here is rounded water density at 20ยฐC; choose the reference that matches the reported specific gravity.
| Specific Gravity (SG) | Density (kg/mยณ) | Density (g/mL) | Density (lb/ftยณ) |
|---|---|---|---|
| 0.50 | 499.100 | 0.499 | 31.158 |
| 0.60 | 598.920 | 0.599 | 37.389 |
| 0.70 | 698.740 | 0.699 | 43.621 |
| 0.75 | 748.650 | 0.749 | 46.737 |
| 0.80 | 798.560 | 0.799 | 49.852 |
| 0.85 | 848.470 | 0.848 | 52.968 |
| 0.90 | 898.380 | 0.898 | 56.084 |
| 0.95 | 948.290 | 0.948 | 59.200 |
| 1.00 | 998.200 | 0.998 | 62.316 |
| 1.05 | 1,048.110 | 1.048 | 65.431 |
| 1.10 | 1,098.020 | 1.098 | 68.547 |
| 1.20 | 1,197.840 | 1.198 | 74.779 |
| 1.30 | 1,297.660 | 1.298 | 81.010 |
| 1.50 | 1,497.300 | 1.497 | 93.473 |
| 1.80 | 1,796.760 | 1.797 | 112.168 |
| 2.00 | 1,996.400 | 1.996 | 124.631 |
| 2.20 | 2,196.040 | 2.196 | 137.094 |
| 2.50 | 2,495.500 | 2.496 | 155.789 |
| 3.00 | 2,994.600 | 2.995 | 186.947 |
| 4.00 | 3,992.800 | 3.993 | 249.262 |
| * Rounded to 3 decimals. Uses ฯwater = 998.2 kg/mยณ. Conversions: density = SG ร ฯwater; 1 g/mL = 1000 kg/mยณ; 1 kg/mยณ โ 0.06242796 lb/ftยณ. | |||
How to Calculate Volume from Specific Gravity?
The following example problems outline how to calculate Volume from Specific Gravity.
Example Problem #1:
- First, determine the mass of the substance (kg).
- The mass of the substance (kg) is given as 100.
- Next, determine the specific gravity.
- The specific gravity is provided as 20.
- Finally, calculate the Volume from Specific Gravity using the equation above:
Vsg = m / (SG * 998.2 )
The values given above are inserted into the equation below:
Vsg = 100 / (20 * 998.2 ) โ 0.005009016 mยณ (5.009016 L)
Example Problem #2:
The variables needed for this problem are provided below:
mass of the substance (kg) = 400
specific gravity = 40
Entering these values and solving gives:
Vsg = 400 / (40 * 998.2 ) โ 0.010018032 mยณ (10.018032 L)
