# Prove the relationship between kPa and mmHg?

1. Jul 18, 2012

### Cathmore

I suppose this is more of a math question, but it's a bonus question in my chemistry upgrade class.

1. The problem statement, all variables and given/known data
Prove the relationship 760mmHg=101.35kPa mathematically, by using conversion factors.

2. Relevant equations
1 Pa=1 kgm/s2 (No it doesn't?...)
density of Hg=13.6g/cm3
acceleration due to gravity=9.8m/s2

3. The attempt at a solution
I'll be honest, my mind is totally blanking on this, I know my math skills should be able to handle this no problem, but it feels like all my math skills have ran away for the summer. I mean yeah I can convert 101.35kPa into an area using gravity I guess, but I'm not sure what that tells me. While telling me how to get the answer would be great, I'd even be happy with a hint at where to get start.

2. Jul 18, 2012

### Ygggdrasil

You have a column of mercury sitting on a one meter by one meter square that is 760 mm high. What is the pressure on that square in kPa?

3. Jul 23, 2012

### Cathmore

This question was a lot easier than it felt at the time, just stepped entirely away from chemistry for a bit and looked at it as a math problem, what you said helped me get into the right mindset. I even got an extra mark for pointing out the mistake in the problem. (1 Pa equals 1kg/s2m, not 1kgm/s2)