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
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
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e1f2a85-1db3-48f4-acfb-e624a8f47344%2Fdacd46f1-8e1a-4670-8521-d09b70cac89b%2Fv4ubpla_processed.jpeg&w=3840&q=75)
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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