A gas is contained in a vertical, frictionless piston– cylinder device. The piston has a mass of 3.2 kg and a crosssectional area of 35 cm2. A compressed spring above the piston exerts a force of 150 N on the piston. If the atmospheric pressure is 95 kPa. Determine the pressure inside the cylinder.

Pressure = 51.8 x 10³ Pa = 51.8 KPa

Explanation:

First, we calculate the total force exerted on the piston:

Total Force = Force Exerted by Spring + Weight of Piston

Total Force = 150 N + (mass)(g)

Total Force = 150 N + (3.2 kg)(9.8 m/s²)

Total Force = 150 N + 31.36 N

Total Force = 181.36 N

Now, for cross-sectional area of piston:

Area = (35 cm²)(1 x 10⁻⁴ m²/1 cm²)

Area = 0.0035 m²

Now, for pressure inside the cylinder:

Pressure = Total Force/Area

Pressure = 181.36 N/0.0035 m²

Pressure = 51.8 x 10³ Pa = 51.8 KPa

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