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A sample of an ideal gas at 15.0 atm and 10.0 L is allowed to expand against a constant external pressure of 2.00 atm at a constant temperature. Calculate the work in units of kJ for the gas expansion. (Hint: Boyle's law applies.)

A sample of an ideal gas at 15.0 atm and 10.0 L is allowed to expand against a constant external pressure of 2.00 atm at a constant temperature. Calculate the work in units of kJ for the gas expansion. (Hint: Boyle's law applies.)

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question number 35.  Answer is -13.2.  Not sure as the different pressures are confusing me 

Certainly! Below is a transcription of the text suitable for an educational website: --- ### Thermodynamics Practice Problems **34. Calculate the internal energy changes in the following scenarios:** a. One hundred (100.) joules of work is done to compress a gas. At the same time, the gas releases 23 J of heat. b. A piston is compressed from a volume of 8.30 L to 2.80 L against a constant pressure of 1.90 atm. In the process, there is a heat gain by the system of 350 J. c. A piston expands against 1.00 atm of pressure from 11.2 L to 29.1 L. In the process, 1037 J of heat is absorbed. **35. A sample of an ideal gas at 15.0 atm and 10.0 L is allowed to expand against a constant external pressure of 2.00 atm at a constant temperature. Calculate the work in units of kJ for the gas expansion. (Hint: Boyle’s law applies.)** **36. A piston performs work of 210 L·atm on the surroundings, while the cylinder in which it is placed expands from 10 L to 25 L. At the same time, 45 J of heat is transferred from the surroundings to the system. Against what pressure was the piston working?** **37. Consider a mixture of air and gasoline vapor in a cylinder with a piston. The original volume is 40. cm³. If the combustion of this mixture releases 950 J of energy, to what volume will the gases expand against a constant pressure of 650. torr if all the energy of combustion is converted into work to push the piston?** --- This content is designed to enhance understanding of key concepts in thermodynamics related to internal energy, work, and heat.
Transcribed Image Text:Certainly! Below is a transcription of the text suitable for an educational website: --- ### Thermodynamics Practice Problems **34. Calculate the internal energy changes in the following scenarios:** a. One hundred (100.) joules of work is done to compress a gas. At the same time, the gas releases 23 J of heat. b. A piston is compressed from a volume of 8.30 L to 2.80 L against a constant pressure of 1.90 atm. In the process, there is a heat gain by the system of 350 J. c. A piston expands against 1.00 atm of pressure from 11.2 L to 29.1 L. In the process, 1037 J of heat is absorbed. **35. A sample of an ideal gas at 15.0 atm and 10.0 L is allowed to expand against a constant external pressure of 2.00 atm at a constant temperature. Calculate the work in units of kJ for the gas expansion. (Hint: Boyle’s law applies.)** **36. A piston performs work of 210 L·atm on the surroundings, while the cylinder in which it is placed expands from 10 L to 25 L. At the same time, 45 J of heat is transferred from the surroundings to the system. Against what pressure was the piston working?** **37. Consider a mixture of air and gasoline vapor in a cylinder with a piston. The original volume is 40. cm³. If the combustion of this mixture releases 950 J of energy, to what volume will the gases expand against a constant pressure of 650. torr if all the energy of combustion is converted into work to push the piston?** --- This content is designed to enhance understanding of key concepts in thermodynamics related to internal energy, work, and heat.
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