(c) A player bounces a ball on the floor, compressing it to 75.0% of its original volume. The air inside the ball is originally at 21.0° C and 2.1 atm. The ball's inside diameter is 22.0 cm. i. What temperature does the ball reach at its maximum com- pression? ii. By how much does the internal energy of the air change between the ball's original state and its maximum compres- sion? (d) The atmosphere of Saturn's largest satellite, Titan, consists pri- marily of nitrogen (N2) and the Cassini/Huygens mission has revealed lakes of liquid methane at its surface. Suppose that at a depth of 30 m the temperature in the lake is 120 K, and that a bubble of nitrogen, of initial radius 4 mm, rises from a depth of 30 m in the lake to the surface, where the temperature is 90 K and atmospheric pressure is 150 kPa. Determine the ra- dius of the bubble when it reaches the surface? Liquid methane has density 422 kg m-3, and the acceleration due to gravity on Titan's surface is 1.35 m s 2. [Hint: the pressure at a depth D below the surface of a liquid is P = Po + pgD , where Po is the pressure at the surface.]
(c) A player bounces a ball on the floor, compressing it to 75.0% of its original volume. The air inside the ball is originally at 21.0° C and 2.1 atm. The ball's inside diameter is 22.0 cm. i. What temperature does the ball reach at its maximum com- pression? ii. By how much does the internal energy of the air change between the ball's original state and its maximum compres- sion? (d) The atmosphere of Saturn's largest satellite, Titan, consists pri- marily of nitrogen (N2) and the Cassini/Huygens mission has revealed lakes of liquid methane at its surface. Suppose that at a depth of 30 m the temperature in the lake is 120 K, and that a bubble of nitrogen, of initial radius 4 mm, rises from a depth of 30 m in the lake to the surface, where the temperature is 90 K and atmospheric pressure is 150 kPa. Determine the ra- dius of the bubble when it reaches the surface? Liquid methane has density 422 kg m-3, and the acceleration due to gravity on Titan's surface is 1.35 m s 2. [Hint: the pressure at a depth D below the surface of a liquid is P = Po + pgD , where Po is the pressure at the surface.]
Related questions
Question
Help with c ii. and d
![B1
(a) Explain the difference between an adiabatic quasi-static process
and an isothermal quasi-static process.
(b) A sample of air initially at atmospheric pressure occupies a vol-
ume, V. It expands quasi-statically and adiabatically to a final
volume, 2V. Calculate the final pressure of the gas.
(c) A player bounces a ball on the floor, compressing it to 75.0%
of its original volume. The air inside the ball is originally at
21.0° C and 2.1 atm. The ball's inside diameter is 22.0 cm.
i. What temperature does the ball reach at its maximum com-
pression?
ii. By how much does the internal energy of the air change
between the ball's original state and its maximum compres-
sion?
(d) The atmosphere of Saturn's largest satellite, Titan, consists pri-
marily of nitrogen (N2) and the Cassini/Huygens mission has
revealed lakes of liquid methane at its surface. Suppose that
at a depth of 30 m the temperature in the lake is 120 K, and
that a bubble of nitrogen, of initial radius 4 mm, rises from a
depth of 30 m in the lake to the surface, where the temperature
is 90 K and atmospheric pressure is 150 kPa. Determine the ra-
dius of the bubble when it reaches the surface? Liquid methane
has density 422 kg m-³, and the acceleration due to gravity on
Titan's surface is 1.35 m s 2. [Hint: the pressure at a depth D
below the surface of a liquid is P = Po + pgD , where Po is the
pressure at the surface.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7fca6289-56d0-42a9-91aa-dda6f4661576%2F221f99f1-a0d9-4a8c-8e76-e2afd33073e3%2Fmi2aov_processed.png&w=3840&q=75)
Transcribed Image Text:B1
(a) Explain the difference between an adiabatic quasi-static process
and an isothermal quasi-static process.
(b) A sample of air initially at atmospheric pressure occupies a vol-
ume, V. It expands quasi-statically and adiabatically to a final
volume, 2V. Calculate the final pressure of the gas.
(c) A player bounces a ball on the floor, compressing it to 75.0%
of its original volume. The air inside the ball is originally at
21.0° C and 2.1 atm. The ball's inside diameter is 22.0 cm.
i. What temperature does the ball reach at its maximum com-
pression?
ii. By how much does the internal energy of the air change
between the ball's original state and its maximum compres-
sion?
(d) The atmosphere of Saturn's largest satellite, Titan, consists pri-
marily of nitrogen (N2) and the Cassini/Huygens mission has
revealed lakes of liquid methane at its surface. Suppose that
at a depth of 30 m the temperature in the lake is 120 K, and
that a bubble of nitrogen, of initial radius 4 mm, rises from a
depth of 30 m in the lake to the surface, where the temperature
is 90 K and atmospheric pressure is 150 kPa. Determine the ra-
dius of the bubble when it reaches the surface? Liquid methane
has density 422 kg m-³, and the acceleration due to gravity on
Titan's surface is 1.35 m s 2. [Hint: the pressure at a depth D
below the surface of a liquid is P = Po + pgD , where Po is the
pressure at the surface.]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 11 images
