Q: Which of the following is the correct formula for calculating the mass of a liquid given its volume and specific gravity?

$$\text{Mass} = \text{Volume} \times \text{Density of water} \times \text{Specific Gravity}$$

Question 1

Which of the following best describes specific gravity?

Accepted Answer

The ratio of the density of a substance to the density of water at the same temperature.

Question 2

Given the formula for specific gravity: $$	ext{Specific Gravity} = \frac{	ext{Density of substance}}{	ext{Density of water}}$$, what is the specific gravity of a substance with a density of $$1.45\ 	ext{g/mL} at$$ $$25^\circ	ext{C}$$, if the density of water at $$25^\circ	ext{C} is$$ $$0.99707\ 	ext{g/mL}$$?

Accepted Answer

$$1.4546$$

Question 3

A sample of ethyl alcohol has a specific gravity of $$0.7892 at$$ $$10^\circ	ext{C}. $$What is the mass (in grams) of $$250\ 	ext{mL} of $$ethyl alcohol at this temperature? (Density of water at $$10^\circ	ext{C} is$$ $$0.99970\ 	ext{g/mL})$$

Accepted Answer

$$197.7\ 	ext{g}$$

Question 4

If the specific gravity of sulfuric acid is $$1.27 at$$ $$25^\circ	ext{C}$$, what is its density in $$	ext{g/mL}$$? (Density of water at $$25^\circ	ext{C} is$$ $$0.99707\ 	ext{g/mL})$$

Accepted Answer

$$1.266\ 	ext{g/mL}$$

Question 5

A cube of lithium metal measures $$0.82\ 	ext{cm} 	imes 1.45\ 	ext{cm} 	imes 1.25\ 	ext{cm}$$ and has a mass of $$0.794\ 	ext{g}. $$What is its specific gravity at $$10^\circ	ext{C}$$? (Density of water at $$10^\circ	ext{C} is$$ $$0.99970\ 	ext{g/mL})$$

Accepted Answer

$$0.677$$

Question 6

Why is specific gravity considered a unitless quantity?

Accepted Answer

Because it is the ratio of two densities with the same units, which cancel out.

Question 7

A patient is given $$2.3\ 	ext{L} of $$sulfuric acid with a specific gravity of $$1.27 at$$ $$25^\circ	ext{C}. $$What is the mass of sulfuric acid administered (in mg)? (Density of water at $$25^\circ	ext{C} is$$ $$0.99707\ 	ext{g/mL})$$

Accepted Answer

$$2,911,000\ 	ext{mg}$$

Question 8

Which of the following statements is TRUE regarding the effect of temperature on the density of water?

Accepted Answer

The density of water decreases as temperature increases.

Question 9

A solution has a density of $$1.10\ 	ext{g/mL} at$$ $$20^\circ	ext{C}. If $$the density of water at $$20^\circ	ext{C} is$$ $$0.99823\ 	ext{g/mL}$$, what is the specific gravity of the solution?

Accepted Answer

$$1.102$$

Question 10

Which of the following is a correct application of specific gravity in a medical context?

Accepted Answer

Assessing the hydration status of a patient by measuring the specific gravity of urine.

Question 11

If a liquid has a specific gravity less than 1, what does this indicate about its density compared to water?

Accepted Answer

The liquid is less dense than water.

Question 12

A chemist needs to prepare $$500\ 	ext{mL} of a $$solution with a specific gravity of $$1.05 at$$ $$25^\circ	ext{C}. $$What is the mass of the solution in grams? (Density of water at $$25^\circ	ext{C} is$$ $$0.99707\ 	ext{g/mL})$$

Accepted Answer

$$523.5\ 	ext{g}$$

Question 13

Which of the following would NOT affect the calculation of specific gravity for a substance?

Accepted Answer

The color of the substance.

Question 14

A laboratory technician measures the density of a sample as $$0.950\ 	ext{g/mL} at$$ $$40^\circ	ext{C}. If $$the density of water at $$40^\circ	ext{C} is$$ $$0.99224\ 	ext{g/mL}$$, what is the specific gravity of the sample?

Accepted Answer

$$0.958$$

Question 15

Which of the following is the correct formula for calculating the mass of a liquid given its volume and specific gravity?

Accepted Answer

$$	ext{Mass} = 	ext{Volume} 	imes 	ext{Density of water} 	imes 	ext{Specific Gravity}$$

Specific Gravity and Density in GOB Chemistry

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