The density of seawater is 1,029 kilograms/meter 3 . 1 kilogram/liter \(=1,000\) kilograms \(/\) meter \(^3\). What is the density of seawater in kilograms/liter? You may use a calculator. A. 0.0001029 B. 0.1029 C. 1.029 D. 1,029,000

Short Answer

Expert verified
C. 1.029

Step by step solution

01

Understand the given information

We are given the density of seawater as 1,029 kg/m³. We are also given the conversion factor: 1 kg/L = 1,000 kg/m³.
02

Convert the density of seawater to kg/L

To convert the density of seawater to kg/L, we need to divide its density in kg/m³ by the given conversion factor (1,000 kg/m³). Density of seawater in kg/L = \(\frac{1,029 kg/m³}{1,000 kg/m³}\)
03

Calculate the density of seawater in kg/L

Now, divide the density of seawater in kg/m³ by the conversion factor to get the density in kg/L. Density of seawater in kg/L = \(\frac{1,029}{1,000}\) = 1.029 kg/L
04

Match the answer with the given options

Now, we can see that the density of seawater in kg/L is 1.029. Match this value with the given options: A. 0.0001029 B. 0.1029 C. 1.029 D. 1,029,000 Our answer is option C: 1.029 kg/L.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Seawater Density
When we talk about the density of seawater, we're referring to its mass per unit volume, which indicates how closely packed the seawater molecules are. It's an important concept in various fields such as oceanography and marine engineering. Density is commonly measured in kilograms per cubic meter (kg/m³) but may also be presented in other units like kilograms per liter (kg/L) for practical applications.

Seawater tends to be denser than freshwater due to the dissolved salts in it. This density can vary depending on factors such as temperature and salinity. For most practical calculations, average values are considered. The question posed in our exercise assumes a density of 1,029 kg/m³ for seawater, a typical average value for seawater density.
Kilograms per Liter
The unit kilograms per liter (kg/L) measures how many kilograms of a substance are in one liter of volume. This unit is especially useful because of its direct connection to the practical quantities typically used in everyday life; for example, the mass of liquids in containers can be measured in liters.

One liter is defined as a volume of a cube that measures 10 centimeters on each side. Since density is mass per volume, understanding it in terms of liters can often make the concept more tangible, as opposed to cubic meters, which are much larger and harder to visualize in a real-world context.
Density Conversion Factor
When working with different density units, a conversion factor is essential. It is simply a number used to change one set of units to another, by multiplying or dividing. In the context of our exercise, the conversion factor between kilograms per cubic meter and kilograms per liter is 1,000, since there are 1,000 liters in one cubic meter.

Using this conversion factor simplifies the process of converting units. It requires understanding of the relationship between units, ensuring the accurate application of the conversion through either division or multiplication, depending on whether you are converting to a smaller or larger unit, respectively.
GED Math Practice
The General Educational Development (GED) test includes a mathematical reasoning section that tests a candidate's skills in quantitative and algebraic problem solving. Exercises like the one we've discussed not only test your ability to perform calculations but also your understanding of units and how to convert them.

Practicing with problems involving unit conversions is excellent for preparing for the GED math test. Understanding the steps to take and ensuring unit consistency throughout the calculation are crucial skills for successfully navigating these types of questions. Regular practice can build confidence and improve problem-solving strategies, both of which are invaluable on test day.

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