An 7.5 cm -diameter, well-insulated vertical cylinder containing nitrogen gas is

Question

An 7.5 cm -diameter, well-insulated vertical cylinder containing nitrogen gas is sealed at the top by a 5.4 kg frictionless piston. The air pressure above the piston is 100 kPa.

What is the gas pressure inside the cylinder?

Express your answer using two significant figures.

Initially, the piston height above the bottom of the cylinder is 28 cm . What will be the piston height if an additional 3.3 kg are placed on top of the piston?(Assume temperature in the cylinder is a constant value.)

Express your answer using two significant figures.

Explanation / Answer

inside pressure is calculated as follows:

p1 = 100x103 Pa + mg/A

= 100x103 Pa + 5.4*9.8/[pi*0.0375*0.0375]

= 1.12e+5 Pa

= 112 kPa

----------------------------------------------------------------------------------

the pressure p2 is calculated as follwos:

p2 = 1.12e+5 Pa + mg/A

=   1.12e+5 Pa +3.3*9.8/[pi*0.0375*0.0375]

= 1.2e+5 Pa

the piston height is,

h2 = [p1/p2]h1 = [112 kPa / 120 kPa]*0.28 = 0.26 m = 26 cm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.