The relationship between temperature and volume of an ideal gas, during adiabatic expansion or contraction, is defined by the following equation:
where, T and V are the temperature and volume of the ideal gas. This means that
or,
where, subscripts 1 and 2 denote the initial and final states. Here, the final temperature is 1/3 of initial temperature, that is T2 = 1/3 T1 or, T1 =...
The relationship between temperature and volume of an ideal gas, during adiabatic expansion or contraction, is defined by the following equation:
where, T and V are the temperature and volume of the ideal gas. This means that
or,
where, subscripts 1 and 2 denote the initial and final states. Here, the final temperature is 1/3 of initial temperature, that is T2 = 1/3 T1 or, T1 = 3 T2
Substituting this relation into the previous equation, we get:
(3 T2/T2) = 3
substituting the value of in the equation, we get:
Thus, the final volume of the gas is 15.6 times the initial gas volume. In other words, the volume changes by a factor of 15.6.
Hope this helps.
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