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 _____. Read more

Steps to Solve

1. Identify Density and Heat Values We have the following values:

   • For the given explosive:
     • Density ($\rho_e$) = 1.2 g/cm³
     • Heat of explosion ($Q_e$) = 900 cal/g
   • For ANFO:
     • Density ($\rho_{ANFO}$) = 0.8 g/cm³
     • Heat of explosion ($Q_{ANFO}$) = 950 cal/g

2. Calculate Bulk Strength The bulk strength (BS) of an explosive relative to ANFO can be calculated using the formula:

   $$ BS = \left(\frac{Q_e \times \rho_e}{Q_{ANFO} \times \rho_{ANFO}}\right) $$

   Plugging in the values we have:

   $$ BS = \left(\frac{900 , \text{cal/g} \times 1.2 , \text{g/cm}^3}{950 , \text{cal/g} \times 0.8 , \text{g/cm}^3}\right) $$

3. Perform the Calculation Now compute the numerator and the denominator:

   • Numerator: $$ 900 \times 1.2 = 1080 $$

   • Denominator: $$ 950 \times 0.8 = 760 $$

   Now, put the values into the bulk strength formula:

   $$ BS = \frac{1080}{760} \approx 1.4211 $$

4. Round to Two Decimal Places Finally, round the result to two decimal places:

   $$ BS \approx 1.42 $$