Can you please show me how to set up these conversions (how to do each of these conversions)

Question-
The pressure of gas is measured ay 550 mm Hg. Calculate the pressure in:
a. Torr
b. lb/in2
c. atm
d. in Hg
Can someone other than DrBOB answer this please!

Certainly! I'd be happy to help you set up these conversions.

Before we begin, it's important to understand the relationships between the different units of pressure:

1 atm = 760 mm Hg
1 atm = 760 torr
1 atm = 14.7 lb/in²
1 in Hg = 25.4 mm Hg

Now let's do the conversions step by step:

a. Converting mm Hg to Torr:
Since 1 atm is equivalent to 760 mm Hg and 760 torr, we can use these conversion factors to convert mm Hg to Torr.

Conversion factor: 1 mm Hg = 1 torr
To convert 550 mm Hg to Torr, you can set up the following equation:

550 mm Hg × (1 torr/1 mm Hg) = 550 torr

Therefore, the pressure in Torr is 550 torr.

b. Converting mm Hg to lb/in²:
To convert mm Hg to lb/in², we need to use the conversion factor between atmospheres (atm) and lb/in².

Conversion factor: 1 atm = 14.7 lb/in²
Since we know that 1 atm equals 760 mm Hg, we can set up the following equation:

550 mm Hg × (1 atm/760 mm Hg) × (14.7 lb/in²/1 atm) = (550 × 14.7)/760 lb/in²

Simplifying the equation, we get:

(550 × 14.7)/760 lb/in² ≈ 10.65 lb/in²

Therefore, the pressure in lb/in² is approximately 10.65 lb/in².

c. Converting mm Hg to atm:
To convert mm Hg to atm, we can use the conversion factor between mm Hg and atm, which is 1 atm = 760 mm Hg.

Conversion factor: 1 mm Hg = 1/760 atm
Setting up the equation, we have:

550 mm Hg × (1/760) atm/mm Hg = 0.7237 atm

Therefore, the pressure in atm is approximately 0.7237 atm.

d. Converting mm Hg to in Hg:
To convert mm Hg to in Hg, we can use the conversion factor between mm Hg and in Hg, which is 1 in Hg = 25.4 mm Hg.

Conversion factor: 25.4 mm Hg = 1 in Hg
Setting up the equation, we have:

550 mm Hg × (1 in Hg/25.4 mm Hg) = 21.65 in Hg

Therefore, the pressure in in Hg is 21.65 in Hg.

I hope this helps you understand how to set up these conversions for pressure!