Concept explainers
Interpretation: The temperature required to change the initial volume of the gas to 220 mL needs to be determined.
Concept Introduction:
The Charles’s law states that at constant pressure, the volume of the gas is directly proportional to its temperature. It is mathematically represented as follows:
Here, T1 is initial temperature, V1 is initial volume, T2 is final temperature and V2 is final volume.
Answer to Problem 5E
186.67 K.
Explanation of Solution
Given Information:
The initial volume and temperature of the gas is 330 mL and 280 K respectively.
Calculation:
The initial volume and temperature of the gas is 330 mL and 280 K respectively.
Thus,
Now, the final volume is given 220 mL.
Thus, final temperature can be calculated from Charles’s law as follows:
Putting the values,
On rearranging,
Thus, the final temperature of the gas must be 186.67 K.
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