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=1.2 * 10-28 m3. Let's look at 3moles of this gas at T=300K starting in 0.001 m3 volume. 1) What's the initial value of the pressure?

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Physics

10 September, 16:19

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=1.2 * 10-28 m3. Let's look at 3moles of this gas at T=300K starting in 0.001 m3 volume. 1) What's the initial value of the pressure?

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Korbin Li · Answer 1

P = 7482600 Pa = 7.482 MPa

Explanation:

We have the equation:

P (V - Nb) = NKT

here,

P = Initial Pressure = ?

V = Initial Volume = 0.001 m³

N = No. of moles = 3

b = constant = 1.2 x 10⁻²⁸ m³

T = Temperature = 300 k

k = Gas Constant = 8.314 J/mol. k

Therefore,

P[0.001 m³ - (3) (1.2 x 10⁻²⁸ m³) ] = (3 mol) (8.314 J/mol. k) (300 k)

P = (7482.6 J) / (0.001 m³)

P = 7482600 Pa = 7.482 MPa