The pressure of a gas in a well-sealed vertical frictionless piston-cylinder device is to be increased by adding a mass of 25 kg on the piston. If the diameter of the cylinder is 14 cm. What is the increase in the pressure of the gas?

The increase in pressure of the gas is found to be 15.92 KPa

Explanation:

The additional pressure is equivalent to the pressure exerted by the weight of the mass increased over the area of piston:

Increase in Pressure = ΔP = Weight/Area

ΔP = mg/πr²

m = mass = 25 kg

g = 9.8 m/s²

r = radius of cylinder = 7 cm = 0.07 m

ΔP = (25 kg) (9.8 m/s²) / π (0.07 m) ²

ΔP = 245 N/0.01539 m²

ΔP = 15.92 KPa

Therefore, the increase in pressure of gas is 15.92 KPa.