## Textbooks & Solution Manuals

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

## WriteWise AI Model by Holooly Genius

Your Ultimate AI Essay Writer & Assistant.

## Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

## Holooly Help Desk

Need Help? We got you covered.

Products

## Textbooks & Solution Manuals

Find the Source, Textbook, Solution Manual that you are looking for in 1 click.

## WriteWise AI Model by Holooly Genius

Your Ultimate AI Essay Writer & Assistant.

## Holooly Arabia

For Arabic Users, find a teacher/tutor in your City or country in the Middle East.

## Holooly Help Desk

Need Help? We got you covered.

## Q. 5.10

Calculate the average speed, u, of an $N_{2}$ molecule at 25°C.

 ANALAYSIS temperature (25°C) Information given: R = 8.31 × 10³ g · m²/s² · mol · K MM of $N_{2}$ Information implied: average speed, u, of $N_{2}$ at 25°C Asked for:

STRATEGY

1. Change T to the appropriate units.
2. Note the units of the constant R.
3. Substitute into the equation: u = $\left(\frac{3RT}{MM}\right) ^{1/2}$

## Verified Solution

 u = $\left(\frac{3 \times 8.31 \times 10^{3} \frac{g·m²}{s² · mol · K} \times 298 K }{28.02\frac{g}{mol} }\right)^{1/2}$ = 515 m/s Average speed

Converting the speed of the nitrogen molecule obtained above to miles per hour:

515$\frac{m}{s}$ × $\frac{1 mi}{1.609 × 10³ m}$ × $\frac{3600 s}{1 h}$ = 1.15 × 10³ mi/h

Note that the average cruising speed of a Boeing 777 is about 580 mi/h and the speed of sound is 768 mi/h.