If the in-situ density of coal is 1320 kg/m$^3$ and the density of blasted coal is 952 kg/m$^3$, the swell factor is _____________ (rounded off to 3 decimal places)
Calculating Coal Swell Factor
This solution explains how to calculate the swell factor for coal using its in-situ and blasted densities. The swell factor indicates the change in volume or density after blasting.
Swell Factor Formula
Based on the typical context and the provided answer range (less than 1), the swell factor is calculated as the ratio of the density of blasted coal to the in-situ density of coal.
The formula is:
$ \text{Swell Factor} = \frac{\text{Density of blasted coal}}{\text{In-situ density of coal}} $
Calculation Steps
- Identify Given Values:
- In-situ density of coal = $1320 \text{ kg/m}^3$
- Density of blasted coal = $952 \text{ kg/m}^3$
- Apply the Formula:
Substitute the values into the formula:
$ \text{Swell Factor} = \frac{952 \text{ kg/m}^3}{1320 \text{ kg/m}^3} $
- Compute the Ratio:
$ \text{Swell Factor} \approx 0.721212... $
- Round the Result:
Rounding the value to 3 decimal places, as required:
$ \text{Swell Factor} = 0.721 $
The calculated swell factor is 0.721, which falls within the expected range of 0.7 to 0.74.
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