Concept explainers
Interpretation:
Based on Charles’s law, the blanks in the table by using the given condition has to be filled.
Concept Introduction:
Charles’s Law tells that the relationship between temperature and volume of a gas. The law states that at constant pressure the volume of a fixed amount of gas is directly proportional to the temperature in Kelvin units. The mathematical expression for the relationship between volume and Kelvin temperature according to the Charles’s law can be shown as follows,
Where,
Answer to Problem 7.30EP
Based on Charles’s law, by using the given conditions, the blanks in the table is filled as follows.
V1 | T1 | V2 | T2 | |
2.00L | 27ºC | 4.00L | 327ºC | |
a | 3.30L | 165ºC | 4.05L | 265ºC |
b | 7.90L | 270ºC | 4.45L | 33ºC |
c | 2.78L | 227ºC | 4.50L | 535ºC |
d | 4.21L | 35ºC | 4.351L | 45ºC |
Explanation of Solution
(a)
Record the given data,
Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,
Therefore, the new volume under the new conditions is
(b)
Record the given data,
Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,
The obtained temperature is in Kelvin units so convert it into degree Celsius units as follows,
Therefore, the new temperature in degree Celsius under the new conditions is
(c)
Record the given data,
Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,
Therefore, the initial volume under the new conditions is
(d)
Record the given data,
Now, substitute the given data in the Charles’s law and do some mathematical calculation to get the answer as follows,
The obtained temperature is in Kelvin units so convert it into degree Celsius units as follows,
Therefore, the initial temperature in degree Celsius under the new conditions is
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