Concept explainers
Steam at 100°C is added to ice at 0°C. (a) Find the amount of ice melted and the final temperature when the mass of steam is 10.0 g and the mass of ice is 50.0 g. (b) What If? Repeat when the mass of steam is 1.00 g and the mass of ice is 50.0 g.
(a)
The amount of ice melted and final temperature when the mass of steam is
Answer to Problem 20.21P
The amount of ice melted is
Explanation of Solution
Given info: Steam at
The expression for the energy needed to melt
Here,
Substitute
Thus, the energy needed to melt
The expression for the energy needed to warm
Here,
Substitute
Thus, the energy needed to warm
The expression for the energy released by
Here,
Substitute
Thus, the energy released by
The expression for the total amount of heat required to convert
Substitute
Thus, the total amount of heat required to convert
From the above result it is clear that the amount of energy released by the steam to condense is more than the amount of energy needed to melt
So, the all the ice will melt to water.
For the final common temperature of ice-steam system:
Here,
Substitute
Conclusion:
Therefore, the amount of ice melted is
(b)
The amount of ice melted and final temperature when the mass of steam is
Answer to Problem 20.21P
The amount of ice melted is
Explanation of Solution
The expression of the energy released by
Substitute
As the energy released by the steam is much less than the amount of heat required melting the ice to water. So, the final temperature of the ice steam system will be
For the final common temperature of ice-steam system:
Here,
Substitute
Conclusion:
Therefore, the amount of ice melted is
Want to see more full solutions like this?
Chapter 20 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- At 25.0 m below the surface of the sea, where the temperature is 5.00C, a diver exhales an air bubble having a volume of 1.00 cm3. If the surface temperature of the sea is 20.0C, what is the volume of the bubble just before it breaks the surface?arrow_forwardOne of a dilute diatomic gas occupying a volume of 10.00 L expands against a constant pressure of 2.000 atm when it is slowly heated. If the temperature of the gas rises by 10.00 K and 400.0 J of heat are added in the process, what is its final volume?arrow_forwardA cubic container of volume 2.00 L holds 0.500 mol of nitrogen gas at a temperature of 25.0 . What is the net force due to the nitrogen on one wall of the container? Compare that force to the sample's weight.arrow_forward
- Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.arrow_forwardThe mass of a hot-air balloon and its cargo (not including the air inside) is 200 kg. The air outside is at 10.0C and 101 kPa. The volume of the balloon is 400 m3. To what temperature must the air in the balloon be warmed before the balloon will lift off? (Air density at 10.0C is 1.244 kg/m3.)arrow_forward(a) You have a styrofoam container with 781 g of milk (specific heat of 3,930 J/(kg · °C)) at 27.0° and you add a 62 g chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature of the mixture (in °C). °C (b) What If? What is the minimum mass of the ice cube (in g) that will result in a final mixture at exactly 0°C?arrow_forward
- (a) You have a styrofoam container with 715 g of tomato juice (specific heat of 3,980 J/(kg · °C)) at 33.0° and you add a 69 g chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature of the mixture (in °C). b) What If? What is the minimum mass of the ice cube (in g) that will result in a final mixture at exactly 0°C? garrow_forwardImagine a pond initially at 0°C on a winter. The atmosphere has a constant temperature of --13.28°C. A very small portion of mass dm will freeze at time dt. Here, you can assume that the ice that formed in the pond has uniform density. If the pond is 33 m deep, how long will it take to freeze the whole pond? Assume that 1yr = 365 days. Express your final answer in YEARS, and in ZERO decimal place. The thermal conductivity of ice is 1.6 W/mK, density of ice is 920 kg/m³, and its latent heat of fusion is 334x10³ J/kg Round your answer to 0 decimal places.arrow_forwardThe boa constrictor is a cold-blooded snake, meaning it must regulate its body temperature through sunlight and other external sources. If the boa's body temperature can change from 73.00 °F to 87.00 °F, by how much can the boa's body temperature change in units of Kelvin? (round to nearest hundredth) K If the boa constrictor's temperature decreases by 16.00 °C, by how much does it decrease in units of Fahrenheit? (round to nearest hundredth) °Farrow_forward
- (a) A handful of copper shot is heated to 98 °C and then dropped into 160 g of water at 20 °C. The final temperature of the mixture is 25 °C. What was the mass of the copper shot? Given the specific heat of copper and water is 390 J/kg.°C and 4186 J/kg.°C, respectively.arrow_forwardA mass of 50 g of a certain metal at 150° C is immersed in 100 g of water at 11° C. The final temperature is 20° C. Calculate the specific heat capacity of the metal. Assume that the specific heat capacity of water is 4.2 J gʻ¹K¯¹.arrow_forwardRectangular tank contains 3.0 kg of air. The length of the tank is 1.1 m and the width is 0.9 m. The pressure p of the tank is 1.2 bar temperature T₁ is -20 °C. Calculate a) Amount of air n b) Height of the tank h c) Density of air p mol (with zero decimal accuracy) m (with one decimal accuracy) kg/m3 (with one decimal accuracy) If the temperature inside the tank increases by 50 °C, what is the new pressure in the tank? d) New pressure P2 bar (with one decimal accuracy)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning