Question

In: Physics

5. (IB) An ideal gas at an initial pressure of 4.0 × 105 Pa is expanded...

5. (IB) An ideal gas at an initial pressure of 4.0 × 105 Pa is expanded isothermally from a volume of 3.0 m3 to a volume of 5.0 m3.
a) Calculate the final pressure of the gas.
b) On graph paper, sketch a graph to show the variation with volume V of the pressure p during this expansion. c) Use the sketch graph in (b) to:
(i) estimate the work done by the gas during this process
(ii) explain why less work would be done if the gas were to expand adiabatically from the same initial state to the same final volume.

Solutions

Expert Solution


Related Solutions

A bottle at 325 K contains an ideal gas at a pressure of 1.613×105 Pa ....
A bottle at 325 K contains an ideal gas at a pressure of 1.613×105 Pa . The rubber stopper closing the bottle is removed. The gas expands adiabatically against \(P_{external} \ = \\) 1.168×105 Pa , and some gas is expelled from the bottle in the process. When P = Pexternal , the stopper is quickly replaced. The gas remaining in the bottle slowly warms up to 325 K What is the final pressure in the bottle for a monatomic...
I compress an ideal gas under a constant pressure of 3.2 × 105 Pa from 6.31...
I compress an ideal gas under a constant pressure of 3.2 × 105 Pa from 6.31 mL to 5.12 mL. i. What is the work done in this process? ii. If this is an adiabatic process, what is q and ∆U for this process?
A sample of a gas at an initial pressure of 1.0 ATM is expanded at constant...
A sample of a gas at an initial pressure of 1.0 ATM is expanded at constant temp from 10.L to 15L. Calculate the final pressure of the gas
An ideal monatomic gas at an initial temperature of 500 K is expanded from 5.0 atm...
An ideal monatomic gas at an initial temperature of 500 K is expanded from 5.0 atm to a final pressure of 1.0 atm. Calculate w, q, DU, and (where applicable) DH and DT when the expansion is performed (a) reversibly and isothermally, and (b) reversibly and adiabatically. Help Please!!!
A monatomic ideal gas is at an initial pressure of 1.54 atm and 76.0 cm3. The...
A monatomic ideal gas is at an initial pressure of 1.54 atm and 76.0 cm3. The gas undergoes an isochoric increase in pressure to 2.31 atm, then an isobaric expansion to 114 cm3. Pressure is reduced isochorically to the original pressure before an isobaric compression returns the gas to its initial values. For 1.95 moles of the gas, complete the following: a) Generate a sketch of the PV diagram, with values clearly represented. b) Find the heat absorbed and heat...
Ten moles of an ideal gas at 5 bar and 600 K is expanded adiabatically till...
Ten moles of an ideal gas at 5 bar and 600 K is expanded adiabatically till its pressure becomes 1/5th the initial pressure. Then its compressed at constant pressure and finally heated at constant volume to return to its initial state, calculate: (a) heat transfer (b) work transfer (c) internal energy and enthalpy change for each process, and for the entire cycle.Based on the results of internal energy change and enthalpy change, is the entire process follows the condition of...
2.50 mole of perfect gas at 0°C is expanded from an initial pressure of 5.00 atm...
2.50 mole of perfect gas at 0°C is expanded from an initial pressure of 5.00 atm to a final pressure of 1.00 atm against a constant external pressure of 1.00 atm. (a) isothermally and (b) adiabatically. (1) Calculate the values of q, w, DU, DH, DS, DSsur and DStot for (a) and (b) (2) Draw p -V diagram to represent these two different paths.
Starting from volume VA and pressure PA, an ideal gas undergoes the following three-stage, reversible, cyclic...
Starting from volume VA and pressure PA, an ideal gas undergoes the following three-stage, reversible, cyclic process: (i) adiabatic expansion to volume VB, then (ii) isochoric heating to pressure PA, then (iii) isobaric cooling to volume VA. Draw this process on a P V -diagram, and evaluate the change in the entropy of the system (∆S), for each stage. Show that the sum of these entropy changes is zero, as it should be since the system returns to its initial...
One mole of a monoatomic, ideal gas at initial pressure P0 and volume V0 goes to...
One mole of a monoatomic, ideal gas at initial pressure P0 and volume V0 goes to 2P0 a) along the path PV = constant, and b) at constant volume. Find the heat added to the gas in each case.
An ideal gas is expanded from 5 bars to 1 bar through isentropic(reversible and adiabatic) operation...
An ideal gas is expanded from 5 bars to 1 bar through isentropic(reversible and adiabatic) operation of a turbine. For ambient conditions at 25°C and 1 bar, calculate the exergy of the turbine when the gas inlet temperature to the turbine is: I) above ambient conditions at 250°C (8marks) ii) below ambient condition at -50°C (8marks) iii) comment on your answer to I and ii above (4marks) (Cp=1.0KJ/Kg.K , n=1.4)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT