Question

Refer to the table. Complete the following equations to convert millimeters of mercury to kilopascals or atmospheres to kilopascals.
3.0000 atm =
kPa
7.000 mmHg =
kPa
10.00 kPa =
atm
15.00 kPa =
mmHg
table

Answer 1

Answer:

303.975kPa

0.933kPa

0.099atm

112.509mmHg

Explanation:

Remember your conversions first so you can do this:

1 atm = 101.325 kPa

1 atm = 760 mmHg

A good pattern to remember when you are converting is always put what you want to convert into on top and the what you want to cancel out under.  (I hope this makes sense).

1. 3.0000 atm → kPa

$3.0000atm\times\dfrac{101.325kPa}{1atm}=303.975kPa$

See how I placed atm at the bottom to cancel them out?

2. 7.000mmHg → kPa

For this problem, we will convert twice. First mmHg to atm, then atm to kPa.

Although, you can do this directly by getting the conversion value of mmHg to kPa, this can make things more difficult to do because the value is small.

$7.000mmHg\times\dfrac{1atm}{760mmHg}\times\dfrac{101.325kPa}{1atm}=0.933kPa$

3. 10.00kPa → atm

Like in the first problem this is a direct conversion.

$10.00kPa\times\dfrac{1atm}{101.325kPa}=0.099atm$

4. 15.00 kPa → mmHg

Here we do another double conversion:

$15.00kPa\times\dfrac{1atm}{101.325kPa}\times\dfrac{760mmHg}{1atm}=112.509mmHg$