24. You have a sample with a mass of 700 g and a volume of $$ 524 \mathrm{~cm}^{3} $$. Find its density. 25. When the BP Oil Spill occurred in 2010 , oil could be seen floating on the surface of the Gulf of Mexico for miles. If the oil has a density equal to $$ 0.84 \mathrm{~g} / \mathrm{mL} $$, then what must be true about the density of the water in the Gulf of Mexico?

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### Problem 24

**Given:**
- Mass ($$ m $$) = 700 g
- Volume ($$ V $$) = 524 cm³

**Density Formula:**
$$
\text{Density} (\rho) = \frac{\text{Mass}}{\text{Volume}} = \frac{m}{V}
$$

**Calculation:**
$$
\rho = \frac{700\, \text{g}}{524\, \text{cm}^3} \approx 1.336\, \text{g/cm}^3
$$

**Answer:**
The density of the sample is approximately **1.336 g/cm³**.

---

### Problem 25

**Given:**
- Density of oil ($$ \rho_{\text{oil}} $$) = 0.84 g/mL

**Observation:**
- Oil floats on water.

**Implication:**
- For oil to float, its density must be **less than** the density of the water.

**Conclusion:**
$$
\rho_{\text{water}} > 0.84\, \text{g/mL}
$$

**Answer:**
Water in the Gulf must have a density higher than 0.84 g/mL for oil to float on its surface.
### Problem 24 **Given:** - Mass = 700 g - Volume = 524 cm³ **Density Calculation:** $$ \text{Density} = \frac{700\, \text{g}}{524\, \text{cm}^3} \approx 1.336\, \text{g/cm}^3 $$ **Answer:** The sample's density is approximately **1.336 g/cm³**. --- ### Problem 25 **Given:** - Oil density = 0.84 g/mL **Observation:** - Oil floats on water. **Conclusion:** $$ \text{Water density} > 0.84\, \text{g/mL} $$ **Answer:** Water in the Gulf must be denser than 0.84 g/mL for oil to float on it.

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