Interpretation: The new volume of the gas needs to be calculated if the gas of volume 4.0 L at 90.0 kPa expands and pressure drops to 20.0 kPa at a constant temperature.
Concept Introduction: According to Boyle’s law at a constant temperature, the volume of gas of a fixed number of moles is inversely proportional to its pressure.
This can be represented as follows:
Thus, the relation between the initial and final pressure and volume of gas will be:
Here, P is pressure and V is volume.
Explanation of Solution
At constant temperature, the relationship between the initial and final volume and pressure of the gas is as follows:
Here, the initial pressure and volume of gas are 90 kPa and 4.0 L respectively. If the final pressure is 20.0 kPa, the volume can be calculated as follow:
On rearranging,
Therefore, the new volume of the gas is 18 L.
Chapter 14 Solutions
Chemistry 2012 Student Edition (hard Cover) Grade 11
- ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage LearningChemistryChemistryISBN:9781259911156Author:Raymond Chang Dr., Jason Overby ProfessorPublisher:McGraw-Hill EducationPrinciples of Instrumental AnalysisChemistryISBN:9781305577213Author:Douglas A. Skoog, F. James Holler, Stanley R. CrouchPublisher:Cengage Learning
- Organic ChemistryChemistryISBN:9780078021558Author:Janice Gorzynski Smith Dr.Publisher:McGraw-Hill EducationChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningElementary Principles of Chemical Processes, Bind...ChemistryISBN:9781118431221Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. BullardPublisher:WILEY