A gas is kept in a container having walls which are thermally non-conducting. Initially the gas has a volume of 
and temperature 
. The change in temperature when the gas is adiabatically compressed to 
is:
(Take 
is the ratio of specific heats at constant pressure and at constant volume)
Text Solution
Verified by ExpertsA
To determine the change in temperature when a gas is adiabatically compressed, we are given the following initial conditions:
Initial volume, 
Final volume, 
Initial temperature, 
Adiabatic index (ratio of specific heats) 
In an adiabatic process, the relationship between temperature and volume is given by the equation:
constant
Applying this to the initial and final states:
Solving for the final temperature 
:
Thus, the change in temperature is:
Therefore, when the gas is adiabatically compressed, the temperature increases by 300 K.
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