
Concept explainers
(a)
Interpretation: Proportionality constant value k at the start of the day needs to be explained.
Concept Introduction: According to Charles’ law, for a sample of gas, at a constant temperature, the ratio of the volume of gas to its Kelvin temperature is constant.
The proportionality constant, k, is different for each different amount of gas.
(a)

Answer to Problem SI4RE
Proportionality constant value at the start of the day is
Explanation of Solution
Calculate the proportionality constant for a particular gas sample take
Here,
Therefore,
Therefore, k value is
(b)
Interpretation: Proportionality constant value k at the end of the day needs to be explained.
Concept Introduction: According to Charles’ law, for a sample of gas, at a constant temperature, the ratio of the volume of gas to its Kelvin temperature is constant.
The proportionality constant, k, is different for each different amount of gas.
(b)

Answer to Problem SI4RE
Proportionality constant value at the end of the day is
Explanation of Solution
As the other conditions such as pressure and amount of gas remain unchanged, the value of k is constant for any volume and temperature. Therefore, the proportionality constant at end of the day is the same as the start of the day.
Calculate the proportionality constant for a particular gas sample take
Here,
Therefore,
Thus,
Therefore, k value is
(c)
Interpretation: The volume of the balloon at temperature
Concept Introduction: According to Charles’ law, for a sample of gas, at a constant temperature, the ratio of the volume of gas to its Kelvin temperature is constant.
The proportionality constant, k, is different for each different amount of gas.
(c)

Answer to Problem SI4RE
The volume of the balloon at the temperature
Explanation of Solution
Proportionality constant, k, value is
Substitute above values in Charles law expression as follows:
Therefore, volume is
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