Compressed gases aren't ideal. let's consider a gas that's non-ideal only because the volume available to each of the n molecules is reduced because each other molecule occupies volume v. instead of pv=nkt, we get: p(v-nb)=nkt. let b=7 × 10^-29 m3. let's look at 3 moles of this gas at t=300k starting in 0.001 m3 volume.

1) what's the initial value of the pressure? p_initial = ?

2) the gas expands isothermally to 0.002 m3. what's the final pressure? p_final = ?

3) how much work did the gas do in this isothermal expansion? w = ?

8563732.58906 Pa

3992793.23326 Pa

5708.00923 J

Explanation:

V = Volume

N = Number of molecules =

T = Temperature = 300 K

b =

= Boltzmann constant =

P = Pressure

We have the equation

The pressure is 8563732.58906 Pa

For isothermal expansion

The pressure is 3992793.23326 Pa

Work done is given by

The work done is 5708.00923 J

igneous rocks also form where plates converge. the subducting plate melts as it sinks into the crust of the earth, and the melt rises into the overriding plate forming volcanoes. metamorphic rocks are formed mainly in the lithosphere, wherever there is high pressure and high temperature. -woods

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