Respuesta :
An ideal diatomic gas at 80 k is slowly compressed adiabatically and reversibly to half its volume. The final temperature is 104.8k
Calculation of final temperature
The formula used for compression is:-
TV^(γ-1)=C
where;
T= temperature=80k
V=volume(given volume is half of its original volume i.e v/2)
γ=CP/CV= ( 7.R/2)/(5R/2)=7/5
C= constant
using the given values in the formula;
80 x V^[(7/5)-1]=T(final) (V/2)^[(7/5)-1]
80=T(final) x (V/V2)^(2/5)
80=T(final) x (1/2)^(2/5)
T(final)= 80 x (2)^2/5
T(final)= 80 x 1.31
final temperature =104.8k
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