A 6.0-cm-diameter cylinder of nitrogen gas has a 4.0-cm-thick movable copper piston. The cylinder is oriented vertically, as shown in FIGURE P19.50, and the air above the piston is evacuated. When the gas temperature is 20°C, the piston floats 20 cm above the bottom of the cylinder.
a. What is the gas pressure?
b. How many gas molecules are in the cylinder? Then 2.0 J of heat energy are transferred to the gas.
c. What is the new equilibrium temperature of the gas?
d. What is the final height of the piston?
e. How much work is done on the gas as 20 cm Piston 6.0 cm the piston rises?
FIGURE P19.50
Want to see the full answer?
Check out a sample textbook solutionChapter 19 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
- (a) What is me gauge pressure in a 25.0C car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0C ? Assume the temperature returns to 25.0C and me volume remains constant.arrow_forward(a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forwardCase Study When a constant-volume thermometer is in thermal contact with a substance whose temperature is lower than the triple point of water, how does the right tube in Figure 19.22 need to be moved? Explain. FIGURE 19.22 1 Gas in the constant-volume gas thermometer is at Ti, and the mercury in the manometer is at height hi above the gasmercury boundary. 2 The thermometer is placed in thermal contact with an object, and its temperature increases. The increased temperature increases the gas volume. 3 By raising the right-hand tube of the mercury manometer, the gas volume is restored to its original size. The mercury is now at hi + h above the gasmercury boundary. This increase in height is a result of the increase in gas temperature and pressure.arrow_forward
- In 1986, a gargantuan iceberg broke away from the Ross Ice Shelf in Antarctica. It was approximately a rectangle 160 km long, 40.0 km wide, and 250 m thick. (a) What is the mass of this iceberg, given that the density of ice is 917kg/m3 ? (b) How much heat transfer (in joules) is needed to melt it? (c) How many years would it take sunlight alone to melt ice this thick, if the ice absorbs an average of 100W/m2, 12.00 h per day?arrow_forwardIn Figure P19.22, the change in internal energy of a gas that is taken from A to C along the blue path is +800 J. The work done on the gas along the red path ABC is 500 J. (a) How much energy must be added to the system by heat as it goes from A through B to C? (b) If the pressure at point A is five times that of point C, what is the work done on the system in going from C to D? Figure P19.22 (c) What is the energy exchanged with the surroundings by heat as the gas goes from C to A along the green path? (d) If the change in internal energy in going from point D to point A is +500 J, how much energy must be added to the system by heat as it goes from point C to point D?arrow_forward(a) At what temperature does water boil at an altitude of 1500 m (about 5000 ft) on a day when atmospheric pressure is 8.59104N/m2 ? (b) What about at an altitude of 3000 m (about 10,000 ft) when atmospheric pressure is 7.00104N/m2 ?arrow_forward
- (a) At what temperature do the Fahrenheit and Celsius scales have the same numerical value? (b) At what temperature do me Fahrenheit and Kelvin scales have the same numerical value?arrow_forward(a) What is the average kinetic energy in joules of hydrogen atoms on the 5500C surface at the Sun? (b) What is the average kinetic energy of helium atoms in a region of the solar corona where me temperature is 6.00105K ?arrow_forwardA cylinder is closed at both ends and has insulating EZZ3 walls. It is divided into two compartments by an insulating piston that is perpendicular to the axis of the cylinder as shown in Figure P21.75a. Each compartment contains 1.00 mol of oxygen that behaves as an ideal gas with = 1.40. Initially, the two compartments haw equal volumes and their temperatures are 550 K and 250 K. The piston is then allowed to move slowly parallel to the axis of the cylinder until it comes to rest at an equilibrium position (Fig. P2l.75b). Find the final temperatures in the two compartments.arrow_forward
- A weather balloon containing 130 moles of an Ideal Gas is released at sea level (atmospheric pressure) and has a volume of 3.1m³. While it rises through the atmosphere, the balloon remains at constant temperature. When it reaches its maximum altitude, the pressure drops to one sixth of its original pressure. a. What is the Temperature of the balloon at liftoff? a. What is the volume of the balloon at its maximum altitude? b. How much work is done by the gas in the balloon during this expansion?arrow_forwarda 6.0 cm diameter cyliinder of nitrogen gas has a 4.0 cm thick movable copper piston. the cylinder is oriented vertically as shown in the figure, and the air above the piston is evacuated. when the gas temperature is 25 degree C the piston floats 20 cm above the bottom of the cylinder then 1.5 J of heat energy are transferred to the gas. what is the new equilibrium temperature of the gas in degree Carrow_forward21 g of nitrogen gas (M=28 g/mol) exerts a pressure of 1.75 atm in a 22.5 L tank. a. Determine the temperature (K) of the gas inside the tank b. What is the total kinetic energy (J) of the gaseous system? c. The system is then heated from its initial temperature to 850 K at constant pressure. What is the heat (J) transferred to the gas? d. What is the entropy change (J/K) of the system after it was heated to 850 K?arrow_forward
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning