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

Question

Alexxandr [17]

4 years ago

11

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?

Physics

1 answer:

Ahat [919] · Answer 1 · 2022-01-29T00:08:19+03:00

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.