
Concept explainers
(a)
Interpretation : The proportionality constant,
Concept Introduction : According to Charles’s law, if pressure and the number of particles of a gas remain same, then volume is proportional to the Kelvin temperature.
(a)

Answer to Problem 7E
The proportionality constant is,
Explanation of Solution
As the temperature decreases, the volume of gas also decreases. The volume is directly proportional to the temperature.
Given:
First change the Celsius temperature to Kelvin
So
Using the formula
Find the value of k;
(b)
Interpretation : The volume of the balloon when the temperature has dropped to 220Chas to be calculated.
Concept Introduction : Volume is directly proportional to temperature. As the temperature decreases, the volume of gas also decreases.
(b)

Answer to Problem 7E
The volume of the balloon when the temperature has dropped to 220C
Explanation of Solution
As the temperature decreases, the volume of gas also decreases because volume is directly proportional to temperature.
Given:
The new temperature
First, change the Celsius temperature to Kelvin
Let final volume be
Now solving for the volume at 295K;
(c)
Interpretation : The proportionality constant,
Concept Introduction : According to Charles’s law, if pressure and the number of particles of a gas remain same, then volume is proportional to the Kelvin temperature.
(c)

Answer to Problem 7E
The proportionality constant,
Explanation of Solution
The temperatureat the end of the day is 150C.
The proportionality constant is a constant value. It remains same at all times of the day. The value of
So,
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