12.4 mL of a urine sample has a mass of 0.13 g. What is the specific gravity of the sample. Report correct units (if any). 0.010 95 g/mL 0.010 g/mL 95

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**Question:**

12.4 mL of a urine sample has a mass of 0.13 g. What is the specific gravity of the sample? Report correct units (if any).

**Answer choices:**

- ○ 0.010
- ○ 95 g/mL
- ○ 0.010 g/mL
- ○ 95

**Explanation:**

Specific gravity is a dimensionless quantity that compares the density of a substance to the density of water. The formula to calculate specific gravity (SG) is:

\[ \text{SG} = \frac{\text{Density of the substance}}{\text{Density of water}} \]

Where:
- The density of the substance (urine in this case) = \(\frac{\text{Mass}}{\text{Volume}}\)
- The density of water is typically \(1 \, \text{g/mL}\) at 4°C.

Given data:
- Volume of the urine sample (V) = 12.4 mL
- Mass of the urine sample (m) = 0.13 g

First, calculate the density of the urine sample:

\[ \text{Density of urine sample} = \frac{0.13 \, \text{g}}{12.4 \, \text{mL}} \approx 0.0105 \, \text{g/mL} \]

Next, calculate the specific gravity of the urine sample:

\[ \text{SG} = \frac{0.0105 \, \text{g/mL}}{1 \, \text{g/mL}} \approx 0.0105 \]

Since none of the answer choices match the exact calculated value, the closest correct option that represents the specific gravity is:

- ○ 0.010
Transcribed Image Text:**Question:** 12.4 mL of a urine sample has a mass of 0.13 g. What is the specific gravity of the sample? Report correct units (if any). **Answer choices:** - ○ 0.010 - ○ 95 g/mL - ○ 0.010 g/mL - ○ 95 **Explanation:** Specific gravity is a dimensionless quantity that compares the density of a substance to the density of water. The formula to calculate specific gravity (SG) is: \[ \text{SG} = \frac{\text{Density of the substance}}{\text{Density of water}} \] Where: - The density of the substance (urine in this case) = \(\frac{\text{Mass}}{\text{Volume}}\) - The density of water is typically \(1 \, \text{g/mL}\) at 4°C. Given data: - Volume of the urine sample (V) = 12.4 mL - Mass of the urine sample (m) = 0.13 g First, calculate the density of the urine sample: \[ \text{Density of urine sample} = \frac{0.13 \, \text{g}}{12.4 \, \text{mL}} \approx 0.0105 \, \text{g/mL} \] Next, calculate the specific gravity of the urine sample: \[ \text{SG} = \frac{0.0105 \, \text{g/mL}}{1 \, \text{g/mL}} \approx 0.0105 \] Since none of the answer choices match the exact calculated value, the closest correct option that represents the specific gravity is: - ○ 0.010
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