Carbon dioxide of mass 0.9 kg is contained in a vessel at a pressure of 4 MPa and a temperature of 500 °C. The gas is allowed to expand into an empty connected vessel, during which its temperature falls to 120 °C. The combined volume of the two vessels is 0.45 m3. Determine (i) the initial volume of the carbon dioxide, (ii) its final pressure and (iii) the polytropic index ‘n’ of the expansion process. Carbon dioxide has a molecular weight of 44 and the universal gas constant is 8314 Jkmol-1K-1.

Carbon dioxide of mass 0.9 kg is contained in a vessel at a pressure of 4 MPa and a temperature of 500 °C. The gas is allowed to expand into an empty connected vessel, during which its temperature falls to 120 °C. The combined volume of the two vessels is 0.45 m3. Determine (i) the initial volume of the carbon dioxide, (ii) its final pressure and (iii) the polytropic index ‘n’ of the expansion process. Carbon dioxide has a molecular weight of 44 and the universal gas constant is 8314 Jkmol-1K-1.

Refrigeration and Air Conditioning Technology (MindTap Course List)

8th Edition

ISBN:9781305578296

Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson

Chapter2: Matter And Energy

Section: Chapter Questions

Problem 17RQ: At a constant pressure, how does a volume of gas vary with respect to the absolute temperature?

See similar textbooks

Similar questions

An airtight dispenser for drinking water is 25 cm × 10 cm in horizontal dimensions and 20 cm tall. It has a tap of negligible volume that opens at the level of the bottom of the dispenser. Initially, it contains water to alevel 3.0 cm from the top and air at the ambient pressure, 1.00 atm, from there to the top. When the tap is opened, water will flow out until the gauge pressure at the bottom of the dispenser, and thus at the opening of the tap, is 0. What volume of water flows out? Assume the temperature is constant, the dispenser is perfectly rigid, and the water has a constant density of 1000 kg/m3
A cylinder contains an amount of gas. At pressure of 460 kPa and at temperature of 27 ̊C, thegas occupies a volume of 0.08 m3. It is then compressed according to Boyle’s law until its pressureis 1.2 MPa, and then expanded according to Charles’ Law until its volume is 0.05 m3. Calculate thefinal temperature of the gas.
A 6m3 tank contains helium at 127 C and in evacuated from atmospheric pressure to a pressure of 740 mm Hg vacuum. Determine (a) mass of helium remaining in the tank (b) mass of helium pumped out (c) the temp of the remaining helium falls to 10 C, what is the pressure in Kpa? R of helium is 2077.67 J/kg-K.
consider air at 350 K and 0.75 m3/kg. using equation Dz=(dz/dx)y*dx + (dz/dy)x*dy, determine the change in pressure corresponding to an increase of (a) 1 percent in temperature at constant specific volume. (b) 1 percent in specififc volume at constant temperature. and (c) 1 percent in both the temperature and specific volume.
Nitrogen is contained in a 80L tank and the initial pressure andtemperature is 250 kPa and 200 °C, respectively. Note the ideal gasconstant for nitrogen is 0.2968 kJ/kg K Determine: The mass of the gas in kg. Now, if 0.05 kg of gas leaks out of the tank and in the process thetemperature drops to 33 °C. Find the gage pressure of the gasremaining in the tank in kPa. If the atmospheric pressure is 101.325kPa.
An insulated piston-cylinder device contains 4.5 m3 of water with a quality equal to 0.5 at aconstant pressure of 300 kPa. Water is stirred by a paddle wheel while electrical current flowsthrough a resistor placed in the water. During this constant-pressure process, the paddle wheelwork amounted to 1000 kJ and electrical work from the resistor amounted to 19000 kJ. What isthe temperature of the water in its final state? Show the process on a P-v diagram with respectto saturation lines.
1.46 cubic meters of a perfect gas at 1.3 bar and 15.8°C is compressed to a volume of 0.62 m^3 and a pressure of 5.7 bar. Determine the final temperature in °C
A brass container has a volume of 2.800 L and is filled with 2.790 L of water at a common temperature of 15.0 °C. The container and water are heated uniformly to 95.0 °C. Ignore heat loss and evaporation to the surrounding. Given that: Coefficient of volume expansion of brass, Bbrass = 57.0 × 10-6 °C-1 Coefficient of volume expansion of water, Bwater= 207 × 106 °C-1 (i) Calculate the change in the volume (in L) of the water and brass container respectively. (ii) Determine whether the water will overflow from the container. Support your answer with mathematical steps.
Let's consider a closed container. This has a glass sight that allows you to observe the liquid level. The container contains refrigerant 134a at 20 ° C. A dough extraction is carried out from the bottom at a very low rate, the temperature remains constant throughout the process. If the area of the container is 0.05m ^ 2 and after liquid extraction the level drops150 mm, determine the mass of refrigerant that came out. see img
A 6m 3 tank contains helium at 127 C and in evacuated from atmospheric pressure to a pressure of 740mm Hg vacuum. Determine (a) mass of helium remaining in the tank (b) mass of helium pumped out (c)the temp of the remaining helium falls to 10 C, what is the pressure in Kpa? R of helium is 2077.67J/kg-K.
A 40 centimeters diamater cylindrical container with a height of 50 centimeters carries a mixture of saturated liquid and saturated vapor water at volume ratio 1:9 liquid to vapor. If the temperature of the system is 100 degrees Celsius, what is the total mass (in kg) of water in the container?
Steam at a pressure of 3.5 mPa is known to have a specific volume of .05 m3/kg. Determine the quality