An explosive with a density of 1.2 g/cm3 has a heat of explosion equal to 900 cal/g. If the heat of explosion of ANFO with density of 0.8 g/cm3 is 950 cal/g, the bulk strength of t... An explosive with a density of 1.2 g/cm3 has a heat of explosion equal to 900 cal/g. If the heat of explosion of ANFO with density of 0.8 g/cm3 is 950 cal/g, the bulk strength of the explosive relative to ANFO is _____. (round off up to 2 decimals)
Understand the Problem
The question is asking to calculate the bulk strength of an explosive relative to ANFO using the heat of explosion and densities provided for both explosives. We need to perform calculations based on the given data.
Answer
$$ R = \frac{\frac{Q_{explosive}}{\rho_{explosive}}}{\frac{Q_{ANFO}}{\rho_{ANFO}}} $$
Answer for screen readers
The relative bulk strength $R$ can be expressed as: $$ R = \frac{\frac{Q_{explosive}}{\rho_{explosive}}}{\frac{Q_{ANFO}}{\rho_{ANFO}}} $$
Steps to Solve
- Identify Given Data
We have two types of explosives: ANFO and another explosive. We're given their respective heats of explosion and densities. Let's represent:
- Heat of explosion of ANFO: $Q_{ANFO}$
- Density of ANFO: $\rho_{ANFO}$
- Heat of explosion of the other explosive: $Q_{explosive}$
- Density of the other explosive: $\rho_{explosive}$
- Calculate Bulk Strength of ANFO
The bulk strength of ANFO can be calculated using the formula: $$ B_{ANFO} = \frac{Q_{ANFO}}{\rho_{ANFO}} $$
- Calculate Bulk Strength of the Other Explosive
Similarly, calculate the bulk strength for the other explosive: $$ B_{explosive} = \frac{Q_{explosive}}{\rho_{explosive}} $$
- Calculate Relative Bulk Strength
Now that we have both bulk strengths, we can find the relative bulk strength of the other explosive compared to ANFO: $$ R = \frac{B_{explosive}}{B_{ANFO}} $$
- Substitute Values and Solve
Insert the values of $Q_{ANFO}$, $\rho_{ANFO}$, $Q_{explosive}$, and $\rho_{explosive}$ into the equations to find $R$.
The relative bulk strength $R$ can be expressed as: $$ R = \frac{\frac{Q_{explosive}}{\rho_{explosive}}}{\frac{Q_{ANFO}}{\rho_{ANFO}}} $$
More Information
The bulk strength of an explosive is crucial in determining its efficiency and effectiveness. Comparing it to ANFO, a common explosive, helps in understanding performance differences.
Tips
- Confusing the units of heat of explosion and density.
- Forgetting to divide the heat of explosion by density when calculating bulk strength.
- Incorrectly substituting values into the equations.
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