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?

Respuesta :

Answer:

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.