(a)
The speed of rise of the piston when the water begins boiling.
(a)
Answer to Problem 81CP
The speed of rise of the piston when the water begins boiling is
Explanation of Solution
A piston-cylinder apparatus of cylinder radius
The speed of rise of the piston is the increase in the height
Using ideal gas law,
Here,
Write the formula for the force when the piston is in equilibrium
Here,
Write the formula to find the number of moles
Here,
Write the formula to find energy required to change the phase
Here,
Substitute equation (II) and (III) in (I) and solving
Substitute equation (IV) in the above equation
Here,
Substitute
Thus, the speed of rise of the piston when the water begins boiling is
(b)
The speed of rise of the piston when the water is completely turned into steam.
(b)
Answer to Problem 81CP
The speed of rise of the piston when the water is completely turned into steam is
Explanation of Solution
When the water in the cylinder is completely turned into steam, the number of moles will be fixed and the temperature changes as the heater continues to transfer energy to the steam, equation (I) becomes
Substitute equation (IV) in the above equation
Substitute
Thus, the speed of rise of the piston when the water is completely turned into steam is
Want to see more full solutions like this?
Chapter 20 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
- A cylinder that has a 40.0-cm radius and is 50.0 cm deep is filled with air at 20.0C and 1.00 atm (Fig. P10.74a). A 20.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi (Fig. P16.74b). Finally, a 25.0-kg dog stands on the piston, further compressing the air, which remains at 20C (Fig. P16.74c). (a) How far down (h) does the piston move when the dog steps onto it? (b) To what temperature should the gas be warmed to raise the piston and dog back to hi?arrow_forwardA gas is in a container of volume V0 at pressure P0. It is being pumped out of the container by a piston pump. Each stroke of the piston removes a volume Vs through valve A and then pushes the air out through valve B as shown in Figure P19.74. Derive an expression that relates the pressure Pn of the remaining gas to the number of strokes n that have been applied to the container. FIGURE P19.74arrow_forwardA rubber balloon is filled with 1 L of air at 1 atm and 300 K and is then put into a cryogenic refrigerator at 100 K. The rubber remains flexible as it cools. (i) What happens to the volume of the balloon? (a) It decreases to 13L. (b) It decreases to 1/3L. (c) It is constant. (d) It increases to 3L. (e) It increases to 3 L. (ii) What happens to the pressure of the air in the balloon? (a) It decreases to 13atm. (b) It decreases to 1/3atm. (c) It is constant. (d) It increases to 3atm. (e) It increases to 3 atm.arrow_forward
- A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P18.40). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find the height h in Figure P18.40. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder. Figure P18.40arrow_forwardA vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P16.56). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find die height h in Figure P16.56. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.arrow_forwardYou are boiling pasta and absentmindedly grab a copper stirring spoon rather than your wooden spoon. The copper spoon has a 25 mm x 1.8 mm rectangular cross section, and the distance from the boiling water to your 35°C hand is 18 cm. How long does it take the spoon to transfer 40 J of energy to your hand?arrow_forward
- Helium has 4 gram/mole mass. There is a helium storage container that has 38 kg of the gas at 273 K and P = 1.013 x 10^5 N/m^2. R = 8.314 J/mol Volume of He in container is 212 m^3 A. Add another 10 kg of the He gas into container. What is the pressure in atm of container?arrow_forwardA cylinder that has a 44.5-cm radius and is 50.0 cm deep is filled with air at 14.5°C and 1.00 atm shown in figure (a). A 16.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi as shown in figure (b). Finally, a 21.0-kg dog stands on the piston, further compressing the air, which remains at 14.5°C as shown in figure (c). (a) How far down (Δh) does the piston move when the dog steps onto it? (b) To what temperature should the gas be warmed to raise the piston and the dog back to hi?arrow_forward1. Which order of magnitude does the SI prefix “mega-“ (M) represent? A. 103 B. 106 C. 109 D. 1012 2. 2.34 kW is equal to A. 2 340 W. B. 23 400 W. C. 234 000 W. D. 2 340 000 W. 3. How many seconds (s) are there in 1 hour 20 minutes? A. 80 s B. 380 s C. 4800 s D. 87 600 s 4. It takes a kettle 5 minutes to transfer 540 kJ of energy to boil some water. What is the power of the kettle? A. 1080 W B. 1800 W C. 9000 W D. 108 000 W 5. A heater of power 1200 W is switched on for an hour and a half. How much heat is given out from the heater? A. 2.16 kJ B. 6.48 kJ C. 2.16 MJ D. 6.48 MJ 6. An immersion heater has a power of 1500 W. How long does it take to supply 3 000 000 J of heat? A. 2 minutes B. 5 minutes C. 20 minutes D. 33 minutes 7. An immersion heater is connected to power supply via a joulemeter. The figure below shows the variation of the reading of the joulemeter with time. Estimate the power of the immersion heater. A. 582 W B. 723…arrow_forward
- Figure CQ10.14 shows a metal washer being heated by a Bunsen burner. The red arrows in options a, b, and c indicate the possible directions of expansion caused by the heating. Which option correctly illustrates the washer’s expansion?arrow_forwardSteam enters a turbine with an enthalpy of 3300 KJ/kg and leaves with an enthalpy of 2400 kJ/kg. The power output of the steam turbine is 6 MW. 1. Determine the change in enthalpy per unit mass. choices:a.- 900 KJ/kg. b.- 850 KJ/kg. c.850 KJ/kg. d.900 KJ/kg 2. Determine the change in kinetic energy per unit mass. choices:a.21.4 kJ/kg. b.19.1 kJ/kg. c.18.2 kJ/Kg. d.-19.1 kJ/kg 3. Determine the change in potential energy, choices:a.- 082513 KJ/Kg. b.0.65872 KJ/Kg. c.- 0.06865 KJ/Kg d.0.06856 KJ/Kg need solution, proper units and show cancellation:)arrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning