Heat is transferred through the wall of a vertical cylinder to air trapped inside it by a frictionless piston of mass 10kg and radius 0.05m. When 300J of heat is transferred to the air the piston rises by 0.2m against the atmospheric pressure of 100kPa. (a) 2. Draw a sketch of the air, cylinder and piston showing the dimensions, forces and energy transfer. Draw a free-body diagram of the piston and use equilibrium of forces to find the pressure of the trapped air. Write down the first law of thermodynamics for the trapped air and identify those terms that do not apply to this process. Determine the change in internal energy of the trapped air when 300J is transferred and the piston rises 0.2m. (b) (c) (d) [Answers: 112,490Pa, 123.3 ]

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The formula page on the reverse vJ thiS sheel WIlI De proviueu m the Exu mutiolI.
A bottle of water rolls down a slope, hits a wall and comes to a stop 16m vertically below
its original position. The bottle is of negligible mass and contains 1.5 litres of water of
which 2% escapes during the process because the bottle-top is not screwed tightly
closed.
1.
Draw of sketch showing the position of the bottle at the start and end of the
process and the other relevant information.
Write down the first law of thermodynamics for a generalised system and
identify those terms that do not apply to this process.
Determine the change in internal energy of the bottle during the process.
Assume the internal energy of water is 84 kJ/kg.
(а)
(b)
(c)
[Answer: 2280 J]
Heat is transferred through the wall of a vertical cylinder to air trapped inside it by a
frictionless piston of mass 10kg and radius 0.05m. When 300J of heat is transferred to
the air the piston rises by 0.2m against the atmospheric pressure of 100kPa.
(а)
energy transfer.
Draw a free-body diagram of the piston and use equilibrium of forces to find the
pressure of the trapped air.
Write down the first law of thermodynamics for the trapped air and identify
those terms that do not apply to this process.
Determine the change in internal energy of the trapped air when 300J is
transferred and the piston rises 0.2m.
2.
Draw a sketch of the air, cylinder and piston showing the dimensions, forces and
(b)
(c)
(d)
[Answers: 112,490Pa, 123.3 J]
3.
In North America the primary energy consumption per person per year was 6 tonnes oil
equivalent* (=6× 42GJ) in 2008. If the maximum amount of solar energy that can be
captured in photosynthesis is 25Wm-² and assuming that at best 8% is stored as
chemical energy in biomass (typical value for sugar cane), what is the minimum land
area needed to sustain the energy consumption of the average person in North America
Transcribed Image Text:The formula page on the reverse vJ thiS sheel WIlI De proviueu m the Exu mutiolI. A bottle of water rolls down a slope, hits a wall and comes to a stop 16m vertically below its original position. The bottle is of negligible mass and contains 1.5 litres of water of which 2% escapes during the process because the bottle-top is not screwed tightly closed. 1. Draw of sketch showing the position of the bottle at the start and end of the process and the other relevant information. Write down the first law of thermodynamics for a generalised system and identify those terms that do not apply to this process. Determine the change in internal energy of the bottle during the process. Assume the internal energy of water is 84 kJ/kg. (а) (b) (c) [Answer: 2280 J] Heat is transferred through the wall of a vertical cylinder to air trapped inside it by a frictionless piston of mass 10kg and radius 0.05m. When 300J of heat is transferred to the air the piston rises by 0.2m against the atmospheric pressure of 100kPa. (а) energy transfer. Draw a free-body diagram of the piston and use equilibrium of forces to find the pressure of the trapped air. Write down the first law of thermodynamics for the trapped air and identify those terms that do not apply to this process. Determine the change in internal energy of the trapped air when 300J is transferred and the piston rises 0.2m. 2. Draw a sketch of the air, cylinder and piston showing the dimensions, forces and (b) (c) (d) [Answers: 112,490Pa, 123.3 J] 3. In North America the primary energy consumption per person per year was 6 tonnes oil equivalent* (=6× 42GJ) in 2008. If the maximum amount of solar energy that can be captured in photosynthesis is 25Wm-² and assuming that at best 8% is stored as chemical energy in biomass (typical value for sugar cane), what is the minimum land area needed to sustain the energy consumption of the average person in North America
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