Algebra 2 Help: Gas Volume Variation Problem & Solutions

[GLprincess02]

A problem on my homework reads like this:

The volume of a gas varies directly as it's temperature measured in degrees Kelvin and inversely as its pressure. When the temperature of a certain gas is 250 degrees K and its pressure is 76.2 cm of mercury, its volume in 750 cm cubed.
a) Find the constant variation.
b) Write a variation equation that models the situation.
c) What would the volume of the gas be if its temp. was 300 degrees K and its pressure was 73.66 cm of mercury? Write the answer to the nearest cubic cm.

These are the answers I got. Could someone tell me if they're right?
a) k=228.6
b) V = 228.6T divided by P (Sorry, I couldn't get LaTeX to work)
c) 931 cm cubed

 

[HallsofIvy]

a) and c) are correct.

b) is not correct, because you don't have the volume "inversely" proportional to temperature.

 

[GLprincess02]

Is it right now? I had the LaTeX up before, so it made it look different.

 

[GLprincess02]

There, I got the LaTeX to work, so now my answer to b) looks like this:

$$v = \frac{228.6T}{P}$$

If this is not right, I'm not sure how to fix it...

 

[courtrigrad]

that is correct

 

[GLprincess02]

Whoops, I meant to put 228.6. And thanks again. I wish I was as good at math as you are!