# Calclate its volume after compression?

1. May 14, 2009

### speedy46

1. The problem statement, all variables and given/known data

A gas at an initial volume of 0.1 m^3, a pressure of 140 kN/m^2 and a temperture of 25 degrees is compressed to a pressure of 700kN/m^2 and a temerture of 60 degrees.

Determine its volume after compression?

2. Relevant equations

P1 × V1 = P2 × V2
T1 T1

3. The attempt at a solution

P1 = 140Kn/m^2
V1 = 0.1 M^3
T1 = 298 K

P × V = 140 × 0.1 = 0.04
T 298

P1 = 700kN/m^2
V1 = ?
T1 = 333 K

I need to find V1 and need help to show me how to get this value please thanks In advance.

Last edited: May 14, 2009
2. May 14, 2009

### dx

Is it an ideal gas? Use the equation

$$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$$

It follows from PV = NkT.

3. May 14, 2009

### speedy46

V2 = p1v1t2 / t1p2

v2= 140,000, 0.1, 333.15 / 298.15, 700000 = 0.022

is this correct

4. May 14, 2009

### dx

Yes. Don't forget the units.

5. May 14, 2009

Thank you