Domanda del libro di testo
Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (c) Decrease the volume by 45% at constant T
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Ch.10 - Gases: Their Properties & Behavior
McMurry8th EditionChemistryISBN: 9781292336145
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TOC.tableOfContents
- Ch.1 - Chemical Tools: Experimentation & Measurement170
- Ch.2 - Atoms, Molecules & Ions160
- Ch.3 - Mass Relationships in Chemical Reactions169
- Ch.4 - Reactions in Aqueous Solution199
- Ch.5 - Periodicity & Electronic Structure of Atoms102
- Ch.6 - Ionic Compounds: Periodic Trends and Bonding Theory92
- Ch.7 - Covalent Bonding and Electron-Dot Structures61
- Ch.8 - Covalent Compounds: Bonding Theories and Molecular Structure59
- Ch.9 - Thermochemistry: Chemical Energy122
- Ch.10 - Gases: Their Properties & Behavior155
- Ch.11 - Liquids & Phase Changes54
- Ch.12 - Solids and Solid-State Materials73
- Ch.13 - Solutions & Their Properties120
- Ch.14 - Chemical Kinetics98
- Ch.15 - Chemical Equilibrium125
- Ch.16 - Aqueous Equilibria: Acids & Bases110
- Ch.17 - Applications of Aqueous Equilibria147
- Ch.18 - Thermodynamics: Entropy, Free Energy & Equilibrium86
- Ch.19 - Electrochemistry154
- Ch.20 - Nuclear Chemistry96
- Ch.21 - Transition Elements and Coordination Chemistry156
- Ch.22 - The Main Group Elements187
- Ch.23 - Organic and Biological Chemistry51
Capitolo 10, Problema 48d
Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (d) Halve the Kelvin temperature and triple the volume
Guida verificata passo dopo passo1
Step 1: Understand the relationship between pressure, volume, and temperature in a gas. This relationship is described by the ideal gas law, which is PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature in Kelvin.
Step 2: In this problem, we are changing the volume and the temperature, but the number of moles of gas and the ideal gas constant remain the same. Therefore, we can write the relationship as P1V1/T1 = P2V2/T2, where the subscripts 1 and 2 refer to the initial and final states, respectively.
Step 3: We are told that the final volume is three times the initial volume (V2 = 3V1) and the final temperature is half the initial temperature (T2 = 0.5T1). Substitute these values into the equation from step 2.
Step 4: After substitution, the equation becomes P1V1/T1 = P2*(3V1)/(0.5T1). Simplify this equation to find the relationship between the initial and final pressures.
Step 5: From the simplified equation, you can see that the final pressure is related to the initial pressure, volume, and temperature changes. Solve for P2 to find the final pressure of the gas in the cylinder.
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Ideal Gas Law
The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of a gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is the absolute temperature in Kelvin. Understanding this relationship is crucial for predicting how changes in one variable affect the others.
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Percorso guidato
01:15
Ideal Gas Law Formula
Gas Pressure
Gas pressure is defined as the force exerted by gas molecules colliding with the walls of their container. It is influenced by the number of gas particles, their temperature, and the volume of the container. When the volume increases or the temperature decreases, the pressure typically decreases, as fewer collisions occur against the walls.
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Percorso guidato
01:15Pressure Units
Temperature in Kelvin
Temperature in Kelvin is the absolute temperature scale used in scientific calculations, where 0 K represents absolute zero, the point at which molecular motion ceases. In gas laws, temperature must be expressed in Kelvin to ensure direct proportionality with pressure and volume. Halving the Kelvin temperature significantly impacts gas behavior, as it indicates a decrease in kinetic energy of the gas molecules.
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Percorso guidato
02:03Temperature Conversion Formulas
Pratica correlata
Domanda del libro di testo
Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (a) Triple the Kelvin temperature while holding the volume constant
490
views
Domanda del libro di testo
Assume that you have a cylinder with a movable piston. What would happen to the gas volume of the cylinder if you were to do the following? (a) Halve the Kelvin temperature while holding the pressure constant
464
views
Domanda del libro di testo
Assume that you have a cylinder with a movable piston. What would happen to the gas volume of the cylinder if you were to do the following? (b) Increase the amount of gas by one-fourth while holding the temperature and pressure constant
513
views
Domanda del libro di testo
Assume that you have a cylinder with a movable piston. What would happen to the gas pressure inside the cylinder if you were to do the following? (b) Reduce the amount of gas by one-third while holding the temperature and volume constant
819
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