Question

In: Mechanical Engineering

3. One mole of air is compressed isothermally at 300K from one atmosphere to fifteen atmospheres.  ...

3. One mole of air is compressed isothermally at 300K from one atmosphere to fifteen atmospheres.  
a) Calculate the amount of work required in the compression.
b) How much heat must be added or removed from the gas to maintain its temperature at 300K.  
c) Does the enthalpy of the gas change? If so, how much?
d) Does the entropy of the gas change? If so, how much?  
DATA: You may assume that air is an ideal gas with a constant volume heat capacity of 5/2R

Solutions

Expert Solution


Related Solutions

One kg mole of an ideal gas is compressed isothermally at 127°C from 1 atm to...
One kg mole of an ideal gas is compressed isothermally at 127°C from 1 atm to 10 atm in a piston-and-cylinder arrangement. Calculate the entropy change of the gas, the entropy change of the surroundings, and the total energy change resulting from the process, if: (a) the process is mechanically reversible and the surroundings consist of a heat reservoir at 127°C. (b) the process is mechanically reversible and the surroundings consist of a heat reservoir at 27°C. (c) the process...
A mole of air is sampled from the atmosphere when the atmospheric pressure is 765 mm...
A mole of air is sampled from the atmosphere when the atmospheric pressure is 765 mm Hg, the temperature is 25 C, and relative humidity is 75%. The sample of air is placed inside a closed container and heated to 135 C and then compressed to 2 atm. What are the relative humidity, the humidity, and the mole fraction of water in the compressed air?
A mole of air is sampled from the atmosphere when the atmospheric pressure is 765 mmHg,...
A mole of air is sampled from the atmosphere when the atmospheric pressure is 765 mmHg, the temperature is 25 C, an relative humidity is 75%. The sample of air is placed inside a closed container and heated to 135 C and then compressed to 2 atm. What are the relative humidity, the humidity, and the mole fraction of water in the compressed air?
A mixture of 20.0 mol% benzene, 5.00 mol% toluene, and 75.0 mol% air is compressed isothermally...
A mixture of 20.0 mol% benzene, 5.00 mol% toluene, and 75.0 mol% air is compressed isothermally at 70 degrees C until condensation first appears. What is the mole fraction of benzene in the condensate? You may assume that air is noncondensable (and thus its vapor pressure is large) and this system obeys Raoult's Law. Note: when solving Antoine's equation it is best to keep all sig figs through calculation and then truncate them at the end. Question options: 0.605, 0.832,...
Consider a process in which one mole of a monatomic ideal gas is compressed from a...
Consider a process in which one mole of a monatomic ideal gas is compressed from a volume of V1 =1.459m3 to V2 =1m3 at a constant temperature of T =353.7 K. (a) What is the entropy change of the gas (in J/K units)? (b) What is the change in the value of PV for the gas (in J units)? (c) What is the energy change of the gas (in J units)? (d) What is the enthalpy change of the gas...
(a) Calculate the change in entropy when 5.00 moles of ozone are compressed isothermally to one...
(a) Calculate the change in entropy when 5.00 moles of ozone are compressed isothermally to one quarter of the origional volume. Treat ozone as an ideal gas. (b) Calculate the residual entropy at T close to 0 K for 1.00 mol of bromobenzene, (C6H5Br). (c) What is the sign on ∆S for the following reaction: NaCl (s) --> Na+ (aq) + Cl- (aq)? Explain why.
One mole of an ideal gas (CP = 5R/2) in a closed piston/cylinder is compressed from...
One mole of an ideal gas (CP = 5R/2) in a closed piston/cylinder is compressed from Ti = 298 K, Pi = 0.1 MPa to Pf = 0.25 MPa by the following pathways. For each pathway, calculate ΔU, ΔH, Q, and WEC: (a) isothermal; (b) constant volume; (c) adiabatic. i need your help as soon as possible please!!! please give me step by step so i can understand it Thank you!
Nitrogen gas is compressed isothermally at 250K from 1.0 bar to 150 bars. Determine the change...
Nitrogen gas is compressed isothermally at 250K from 1.0 bar to 150 bars. Determine the change in enthalpy and entropy using: a. Redlich-Kwong equation of state b. Using tabular superheat data
One mole of an ideal gas (CP/R=7/2), is compressed in a steady-flow compressor from 2.5 bar...
One mole of an ideal gas (CP/R=7/2), is compressed in a steady-flow compressor from 2.5 bar and 25°C to 6.5 bar and 120°C. The compressor rejects 0.5 kJ as heat to the surrounding at 293K. Calculate: 1.     The enthalpy change of the gas (in kJ) 2.     The entropy change of the gas (in J.mol-1) 3.     The work required for the compression (in kJ) 4.     The ideal work of the process (in kJ) 5.     The thermodynamic efficiency The lost work (in kJ)
One-quarter kilogram of air is compressed in a piston-cylinder device from 350 K and 150 kPa...
One-quarter kilogram of air is compressed in a piston-cylinder device from 350 K and 150 kPa to 550 K and 900 kPa. Determine a. The entropy change, in KJ/K. b. The direction of any heat transfer by using the entropy balance. c. What-if scenario: If this process occurs adiabatically, is this process reversible, irreversible, or impossible process? Please answer the nature of this process and why.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT