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The average speed of helium at \(25^{\circ} \mathrm{C}\) is \(1255 \mathrm{~m} / \mathrm{s}\). Convert this speed to miles per hour (mph).

Short Answer

Expert verified
The speed is approximately 2804.4 mph.

Step by step solution

01

Convert Temperature for Context

Although not directly needed for the conversion, knowing that the temperature given is in Celsius is useful for broader contexts. It reaffirms that the initial speed is given in metric units which need converting to Imperial units.
02

Convert Speed from Meters per Second to Miles per Hour

To convert the speed from meters per second to miles per hour, use the conversion factor. Given: 1 mile = 1609.34 meters, 1 hour = 3600 seconds. First, calculate how many meters make a mile: \[ rac{1255 ext{ meters}}{1 ext{ second}} imes rac{1 ext{ mile}}{1609.34 ext{ meters}} = 0.779 ext{ miles per second} \]Next, convert seconds to hours:\[0.779 ext{ miles per second} imes 3600 ext{ seconds per hour} = 2804.4 ext{ miles per hour} \]

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Key Concepts

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

Speed Conversion
Speed conversion is the process of translating speed measurements from one unit to another. Understanding this concept is crucial, especially when working with different measurement systems. Imagine driving a car. In some countries, speed is measured in kilometers per hour (kph), while in others, it's miles per hour (mph). To communicate effectively across these regions, converting between these units becomes essential.
  • Identify the initial speed and unit - In our case, we're starting with meters per second (m/s).
  • Choose the desired unit - We want speed in miles per hour (mph).
  • Apply conversion factors - Find the necessary conversion factors from meters to miles and from seconds to hours.
Conversion factors simplify translation between units. For example, 1 mile equals 1609.34 meters. Using this method accurately converts the original speed to your desired unit without losing precision.
Metric to Imperial
Translating measurements from metric to imperial units is a common task in science, engineering, and daily life. This conversion helps bridge differences in the measurement systems used globally. While many countries primarily use the metric system, others like the United States, rely on the imperial system. Each has its unique units.

  • Metric system - Includes meters, liters, and grams. It's widely used in most parts of the world.
  • Imperial system - Comprises miles, gallons, and pounds. It's prevalent in the United States.
The key to converting metric to imperial is finding the correct conversion factor or multiplier. For example, converting meters to miles or liters to gallons requires accurate factors:
  • 1 mile = 1609.34 meters.
  • 1 meter ≈ 0.000621371 miles.
Using these conversions ensures consistency and accuracy across different systems, making global communication clearer.
Meters to Miles
When converting distances from meters to miles, understanding the relationship between these units is vital. Since 1 mile is defined as 1609.34 meters, this fixed rate facilitates conversions.
  • Determine how many meters need converting — the number of meters signifies your given distance.
  • Use the conversion factor — Divide the total meters by 1609.34 to get the distance in miles.
This operation is simple, yet precision is key. A miscalculated conversion factor can skew results, leading to incorrect outcomes. By carefully following steps and using calculators, one can smoothly convert meters to miles, essential in areas like athletics, travel, and logistics.
Temperature Context
While temperature does not play a direct role in speed conversions, understanding temperature context helps anchor measurements in real-world scenarios. Given in Celsius, it reminds us that speed originated from metric contexts.

Temperature affects the speed of molecules. At higher temperatures, molecules move faster, influencing measured average speeds. For instance, the average speed of gas molecules like helium depends on room temperature.
  • Celsius (°C) - This scale is part of the metric system and is crucial in scientific settings.
  • Fahrenheit (°F) - Used mainly in the United States, provides another perspective on temperature conditions.
When conducting experiments or interpreting scientific data, recognizing the temperature context, particularly which scale is used, ensures comprehension and lends precision to results. It frames the conditions under which initial measurements were made, providing insight into the broader impacts temperature might have on the scenario.

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Most popular questions from this chapter

A human brain weighs about \(1 \mathrm{~kg}\) and contains about \(10^{11}\) cells. Assuming that each cell is completely filled with water (density \(=1 \mathrm{~g} / \mathrm{mL}\) ), calculate the length of one side of such a cell if it were a cube. If the cells are spread out into a thin layer that is a single cell thick, what is the surface area in square meters?

Fluoridation is the process of adding fluorine compounds to drinking water to help fight tooth decay. A concentration of 1 ppm of fluorine is sufficient for the purpose ( 1 ppm means one part per million, or \(1 \mathrm{~g}\) of fluorine per 1 million g of water). The compound normally chosen for fluoridation is sodium fluoride, which is also added to some toothpastes. Calculate the quantity of sodium fluoride in kilograms needed per year for a city of 50,000 people if the daily consumption of water per person is 150 gal. What percent of the sodium fluoride is "wasted" if each person uses only 6.0 \(\mathrm{L}\) of water a day for drinking and cooking (sodium fluoride is 45.0 percent fluorine by mass; \(1 \mathrm{gal}=3.79 \mathrm{~L} ;\) 1 year \(=365\) days; 1 ton \(=2000 \mathrm{lb} ; 1 \mathrm{lb}=453.6 \mathrm{~g}\); density of water \(=1.0 \mathrm{~g} / \mathrm{mL}\) )?

How many minutes does it take light from the sun to reach Earth? (The distance from the sun to Earth is 93 million mi; the speed of light is \(2.99792458 \times 10^{8} \mathrm{~m} / \mathrm{s}\).)

What is the difference between mass and weight? If a person weighs \(168 \mathrm{lb}\) on Earth, about how much would the person weigh on the moon?

Chalcopyrite, the principal ore of copper (Cu), contains 34.63 percent Cu by mass. How many grams of Cu can be obtained from \(7.35 \times 10^{3} \mathrm{~kg}\) of the ore?

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