Interpretation:
The temperature of the gas is to be calculated for a given new volume when the pressure and amount of gas are kept constant.
Concept introduction:
When pressure and amount of gas are kept constant, increasing the temperature of gas increases its volume. This law is known as Charles’ Law.
According to this law,
Where

Answer to Problem 7PP
The new temperature of the gas is
Explanation of Solution
Given information:
The initial volume
The initial temperature is
The change in volume on changing the temperature of the gas keeping the pressure and amount of gas fixed is studied by a law named as Charles’ Law. According to this law, the volume of a given mass of gas is directly proportional to the Kelvin temperature at constant pressure.
If
Or
Where
As the volume is reduced by
Thus, the final volume
On substituting the values in the above formula:
Therefore, new temperature is
The temperature of the gas is
Chapter 13 Solutions
Chemistry: Matter and Change
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