1. May 15, 2010

### vorcil

Ok I mucked up the question

given
$$VT^{\frac{f}{2}$$ = constant
$$T = PV$$
Need help simpi
-------

I get $$V (PV)^{\frac{f}{2}}$$
which is the same as
$$V P^{\frac{f}{2}}V^{\frac{f}{2}}$$
which is the same as
$$P^{\frac{f}{2}} V^{\frac{2+f}{2}}$$

Now how do i simplify it from here?

answer is $$PV^{\frac{2+f}{f}}$$

Last edited: May 15, 2010
2. May 15, 2010

### vorcil

whoops i Meant

$$PV^{\frac{2+f}{f}}$$ is the answer

3. May 15, 2010

### vorcil

Ok I mucked up the question

given
$$VT^{\frac{f}{2}$$ = constant
$$T = PV$$

-------

I get $$V (PV)^{\frac{f}{2}}$$
which is the same as
$$V P^{\frac{f}{2}}V^{\frac{f}{2}}$$
which is the same as
$$P^{\frac{f}{2}} V^{\frac{2+f}{2}}$$

Now how do i simplify it from here?

answer is $$PV^{\frac{2+f}{f}}$$

4. May 15, 2010

### Staff: Mentor

You're given two equations, so any subsequent work should be an equation. Are you trying to solve for one of the variables?

Your second equation seems to be related to the ideal gas law, PV = nRT.

5. May 15, 2010

### vorcil

Yeah, I'm trying to understand how to get from

$$ViTi^{\frac{f}{2}}= VfTf^{\frac{f}{2}}== VT^{\frac{f}{2}}$$

To the equivalent equation

$$PV^{\frac{2+f}{f}}$$
using PV=nRT
I just can't seem to figure it out though

6. May 16, 2010

### Staff: Mentor

This is not an equation. An equation states that two expressions have the same value.
What are i and f? My guess is that you are interpreting things incorrectly. For example could what you are writing as Vi be the initial volume? If so, it would be written as Vi. And what you are writing as Vf might be the final volume, Vf. Same with Ti and Tf, which could represent the initial and final temperatures.

Last edited: May 16, 2010