Steam moves into the cylinder of a steam engine at a constant pressure and does 0.60 j of work on a piston. the diameter of the piston is 1.8 cm, and the piston travels 2.3 cm in one stroke. what is the pressure of the steam?

Question

Physics

Maxwell Guerrero

7 November, 07:54

Steam moves into the cylinder of a steam engine at a constant pressure and does 0.60 j of work on a piston. the diameter of the piston is 1.8 cm, and the piston travels 2.3 cm in one stroke. what is the pressure of the steam?

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Answers (1)

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Haley Morris · Answer 1

The formula is:

W = p * ΔV, where W stays for work, p stays for the pressure and ΔV is the change of volume in the piston.

We know that : W = 0.6 J.

The piston has a diameter: 1.8 cm. It means that : r = 0.9 cm.

It travels 2.3 cm, so the height of a cylinder is: h = 2.3 cm.

ΔV = r² · π · h = 0.9² · 3.14 · 2.3 = 5.85 cm³ = 0.00000585 m³

The pressure:

p = W / V = 0.6 J / 0.00000585 m³ = 103,448.27 Pa

p = 103.45 kPa

Answer: The pressure of the steam is 103.45 kPa.