How Do You Convert Meters per Second to Miles per Hour in Dimensional Analysis?

In summary, dimensional analysis is a problem-solving method used in chemistry to convert between units of measurement. It is important in AP Chemistry because it allows for accurate and efficient conversions, helps avoid errors, and ensures correct units in the final answer. To set up a dimensional analysis problem, start by writing down the given quantity with its unit and then use conversion factors to cancel out units until the desired unit is reached. Common conversion factors include 1 mole = 6.022 x 10^23 particles, 1 gram = 1000 milligrams, and 1 liter = 1000 milliliters. Dimensional analysis can be used for any type of unit conversion as long as the conversion factors are accurate, units are canceled out correctly
  • #1
castlegurl808
1
0
1. Homework Statement [
Average speed of helium at 25C is 1255m/s. Convert this speed to mph


Homework Equations





The Attempt at a Solution


umm i tried to use this: 1255m/s (1mph/.477 m/s)
thats all i have and i don;t know if I did this correct
 
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  • #2
Doesn't look bad, but I doubt your teacher will be pleased. Try longer route, based on well known conversion factors - seconds to hour, meters to mile.

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FAQ: How Do You Convert Meters per Second to Miles per Hour in Dimensional Analysis?

What is dimensional analysis?

Dimensional analysis is a problem-solving method used in chemistry to convert between units of measurement. It involves using conversion factors and canceling out units to arrive at the desired unit.

Why is dimensional analysis important in AP Chemistry?

Dimensional analysis is important in AP Chemistry because it allows for accurate and efficient conversions between units of measurement. It also helps to avoid errors in calculations and ensures that the final answer has the correct units.

How do I set up a dimensional analysis problem?

To set up a dimensional analysis problem, start by writing down the given quantity with its unit. Then, write down a conversion factor that relates the given unit to the desired unit. Continue canceling out units until you are left with the desired unit.

What are some common conversion factors used in dimensional analysis?

Common conversion factors used in dimensional analysis include 1 mole = 6.022 x 10^23 particles, 1 gram = 1000 milligrams, and 1 liter = 1000 milliliters. It is important to use conversion factors that have been confirmed to be accurate and precise.

Can dimensional analysis be used for any type of unit conversion?

Yes, dimensional analysis can be used for any type of unit conversion as long as the conversion factors are accurate and the units are canceled out correctly. However, it is important to pay attention to significant figures and make sure that the final answer is reported with the correct number of significant figures.

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