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Solving Problems: A Chemistry Handbook
Chemistry: Matter and Change
131
SOLVING PROBLEMS:
A CHEMISTRY HANDBOOK
CHAPTER 13
Then, substitute the known values and compute the result.
T 2 ϭ T 1
ϭ 285 K
ϭ 323 K
Finally, convert the Kelvin temperature back to Celsius.
New temperature ϭ 323 Ϫ 273 ϭ 50°C
To check your answer, take note of the conditions in the problem.
The volume of the gas is increasing, so you can predict that the new
temperature will be higher than the original temperature.
Practice Problems
5. A sample of SO 2 gas has a volume of 1.16 L at a temperature of
23°C. At what temperature will the gas have a volume of 1.25 L?
6. A balloon is inflated with 6.22 L of helium at a temperature of
36°C. What is the volume of the balloon when the temperature
is 22°C?
7. A student collects a 125.0-mL sample of hydrogen. Later, the
sample is found to have a volume of 128.6 mL at a temperature
of 26°C. At what temperature was the hydrogen collected?
8. A balloon has a volume of 10,500 L if the temperature is 15°C.
If the temperature is Ϫ35°C, what will be the volume of the
balloon?
13.2 The Combined Gas Law and Avogadro’s Principle
The gas laws may be combined into a single law, called the
combined gas law, that relates two sets of conditions of pressure,
volume, and 1temperature by the following equation.
ϭ
With this equation, you can find the value of any one of the variables if you know the other five.
P 2 V 2
ᎏ
T 2
P 1 V 1
ᎏ
T 1
6.00 kL
ᎏ
5.30 kL
V 2
ᎏ
V 1
Solving Problems: A Chemistry Handbook
Chemistry: Matter and Change
131
SOLVING PROBLEMS:
A CHEMISTRY HANDBOOK
CHAPTER 13
Then, substitute the known values and compute the result.
T 2 ϭ T 1
ϭ 285 K
ϭ 323 K
Finally, convert the Kelvin temperature back to Celsius.
New temperature ϭ 323 Ϫ 273 ϭ 50°C
To check your answer, take note of the conditions in the problem.
The volume of the gas is increasing, so you can predict that the new
temperature will be higher than the original temperature.
Practice Problems
5. A sample of SO 2 gas has a volume of 1.16 L at a temperature of
23°C. At what temperature will the gas have a volume of 1.25 L?
6. A balloon is inflated with 6.22 L of helium at a temperature of
36°C. What is the volume of the balloon when the temperature
is 22°C?
7. A student collects a 125.0-mL sample of hydrogen. Later, the
sample is found to have a volume of 128.6 mL at a temperature
of 26°C. At what temperature was the hydrogen collected?
8. A balloon has a volume of 10,500 L if the temperature is 15°C.
If the temperature is Ϫ35°C, what will be the volume of the
balloon?
13.2 The Combined Gas Law and Avogadro’s Principle
The gas laws may be combined into a single law, called the
combined gas law, that relates two sets of conditions of pressure,
volume, and 1temperature by the following equation.
ϭ
With this equation, you can find the value of any one of the variables if you know the other five.
P 2 V 2
ᎏ
T 2
P 1 V 1
ᎏ
T 1
6.00 kL
ᎏ
5.30 kL
V 2
ᎏ
V 1