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ASSIGNMENT 2 PART 1 P (atm) PA Isothermal process PB B C T V (liters) VA VB A 1.00-mol sample of an ideal monatomic gas
ASSIGNMENT 2 PART 1 P (atm) PA Isothermal process PB B C T V (liters) VA VB A 1.00-mol sample of an ideal monatomic gas is taken through the three -stage cycle as shown The process A to B is a isothermal expansion. PA = 45/10, PB = 7/10, VA = 7, VB = 45. Calculate the energy exhausted from the gas by heat in kJ. Round your answer to the nearest hundredth (i.e. if your answer is 1.875, round it to 1.88). Take 1 atm = 101300 Pa.For an ideal monoatomic gas the specific heat at constant pressure is taken as; Cp = 2.5R Find the change in energy for the process (B to C); AQB-C =nCpAT AQB-+C = 2.5nRAT By using the ideal gas equation; AQB-C = 2.5PBAVB-C AQB-+C =2.5PB(Vc - VB) Since the volume at states A and C is the same. Hence AQB-C = 2.5PB(VA - VB) AQB-C = 2.5 X ( 10 atm) (7 L - 45 L) AQB-C = 2.5 X 7 10 x 101,300 Pa) (7 x 10 3 m3 - 45 x 10-3 m3) AQB-C = 2.5 X (10 x 101,300) (7 x 10 3 m3 - 45 x 10-3) J AQB-C = -6,736 J AQB-C = -6.74 KJThe negative sign indicates that the energy is released from the system. Therefore, the energy exhausted from the gas by heat is; AQBsG = 6.74 11.] Is the energy exhausted from the gas by heat the same thing as the energy added by the gas? No, the energy exhausted from a gas due to heat and the energy added to the gas are not the same thing, but they are related concepts. Explanation: Energy Added to the Gas: This refers to the energy that is supplied to a gas in a system. This energy can be added to the gas through processes like heating it, doing work on the gas, or other means. It is taken as positive. Energy Exhausted from the Gas by Heat: This refers to the energy that is transferred out of the gas clue to heating or cooling. When a gas loses energy in the form of heat, it may undergo a decrease in temperature. It is taken as negative. In the given PV diagram, the energy is added to the gas in the process C to A. That would be different from the energy exhausted
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