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FC6,-101,p6y Zp6-!ttttBoyles Law and Charles Law
CSCOPE Unit 09 Lesson 01 Day 2
Vocabulary
Avogadros LawAt constant pressure and temperature, the volume of a gas is directly proportional to the number of moles of the gas.Boyles LawFor a given mass of gas at constant temperature, the volume of a gas varies inversely with the pressure.Charles LawFor a given mass of gas at constant pressure, the volume of a gas is directly proportional to the Kelvin temperature. The temperature must be in Kelvin.Combined Gas LawA gas law that combines Boyle's Law, Charles' Law, and Gay-Lussac's Law, it states the ratio of the product of pressure and volume to the absolute temperature of a gas is equal to a constant, this gas law is used when pressure, volume, and temperature are all changing, the temperature must be in KelvinDaltons Law of Partial PressuresAt constant temperature and volume, the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures. Gay-Lussacs LawFor a given mass of gas at constant volume, the pressure is directly proportional to the Kelvin temperature.Ideal Gas LawA gas law that describes the relationships between measurable properties of an ideal gas, it describes the physical behavior of an ideal gas in terms of the temperature, volume, pressure, and number of moles of a gas that are present, this gas law is used when no variables P, V, or T are changing, the temperature must be in Kelvin
Boyles Law the Pressure-Volume Relationship
1. Verbal statement
For a given mass of gas at constant temperature, the volume of a gas varies inversely with the pressure.
2. Equation
P1V1 = P2V2
Model
A sample of a gas has a volume of 1.35 L at a pressure of 155 kPa. What is the volume at 125 kPa?
GivenFindV1 = 1.35 L
P1 = 155 kPa
P2 = 125 kPa V2 = ?
P1V1 = P2V2
(155 kPa)(1.35 L) = (125 kPa) V2
V2 =(155 kPa)(1.35 L)125 kPa
V2 = 1.674 L
V2 = 1.67 L
Examples
How many times larger or smaller would the pressure of a sample of a gas in a container be if the volume of the gas were doubled?
.
A sample of a gas has a volume of 9500. mL at a pressure of 1.2 atm. What is the pressure at a volume of 500. mL?
Charles Law the Temperature-Volume Relationship
1. Verbal statement
For a given mass of gas at constant pressure, the volume of a gas
is directly proportional to the Kelvin temperature.
The temperature must be in Kelvin.
2. Equation
V1=V2T1T2
Model
A sample of a gas has a volume of 3.00 L at 273 K. What is its volume at 373 K?
GivenFindV1 = 3.00 L
T1 = 273 K
T2 = 373 K V2 = ?
V1=V2T1T2
3.00 L=V2273 K373 K
(273 K) V2 = (3.00 L)(373 K)
V2 =(3.00 L)( 373 K)273 K
V2 = 4.0989 L
V2 = 4. 10 L
Examples
How many times larger or smaller would the volume of a sample of a gas in a container be if the Kelvin temperature of the gas were tripled?
A sample of a gas has a volume of 1.65 L at 25.1 (C. What is its volume at temperature of 75.4 (C?
Conceptual Exercises
01. How many times larger or smaller would the pressure of a sample of a gas
in a container be if the volume of the gas went from 16 L to 4 L?
02. How many times larger or smaller would the pressure of a sample of a gas
in a container be if the volume of the gas went from 3 L to 9 L?
03. How many times larger or smaller would the volume of a sample of a gas
in a container be if the Kelvin temperature of the gas went from 150. K to
300. K?
04. How many times larger or smaller would the volume of a sample of a gas
in a container be if Kelvin temperature of the gas went from 600. K to
200. K?
Exercises
Procedure
1. Complete a Given and Find on your own.
2. Dont forget to convert Celsius to Kelvin as necessary.
2. Write the correct formula and plug in the numbers.
3. Show all of your math.
4. Box the final answer and dont forget to include the units.
Boyles Law Problems
05. A sample of a gas has a volume of 549 mL at a pressure of 0.980 atm. What
is its volume at a pressure of 1.24 atm?
06. A sample of a gas has a pressure of 740 mmHg and a volume of 2.88 L.
What is its pressure if the volume is increased to 3.99 L?
Charles Law Problems
07. A sample of a gas has a volume of 4789 mL at a temperature of 99.3 K.
What is its volume at a temperature of 987 K?
08. A sample of a gas has a temperature of 293 K and a volume of 3.23 L. If the
volume is decreased to 2.45 L, what is the new temperature?
Mixed Boyles Law and Charles Law Problems
09. At 45.0 (C and a pressure of 9.9 kPa a sample of gas has a volume of
1.033 L. If the pressure is increased to 1245 kPa what will the new volume
be?
10. At 25.5 (C and a pressure of 116.1 kPa a sample of gas has a volume of
344 mL. If the temperature is increased to 75.0 (C what will the new volume
be?
11. A sample of gas has a pressure of 1.05 atm and a volume of 1,200 L at
298 K. If the temperature is changed to 45 K what will the new volume be?
12. At 36.9 (C a sample of oxygen gas has a volume of 1125 L and a pressure of
1229 mm Hg. If the pressure is changed to 1012 mmHg what will the new
volume be?
PAGE
PAGE 1
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