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A GIVEN MASS OF GAS IS COMPRESSED ISOTHERMALLY UNTIL ITS PRESSURE IS DOUBLED,IT IS THEN ALLOWED TO EXPAND ADIABATICALLY UNTIL ITS ORIGINAL VOLUME IS RESTORED AND ITS PRESSURE IS THEN FOUND TO BE 0.75 OF ITS INITIAL PRESSURE.THE RATIO OF THE SPECIFIC HEATS OF THE GAS IS APPROXIMETLY?A-1.41,B-1.67,C-1.20

Asked by Priyanka 6th November 2017, 4:29 PM
Answered by Expert
Answer:
during isothermal process Boyle's law is obeyed
 
begin mathsize 12px style p space alpha 1 over v
P subscript 2 equals 2 P subscript 1
fraction numerator P 2 over denominator P 1 end fraction equals fraction numerator V 1 over denominator V 2 end fraction
fraction numerator 2 P 1 over denominator P 1 end fraction equals fraction numerator V 1 over denominator V 2 end fraction
fraction numerator V 1 over denominator V 2 end fraction equals 2
D u r i n g space a d i a b a t i c space p r o c e s s
P V to the power of r equals C O N S T A N T
fraction numerator P 1 over denominator P 2 end fraction equals open parentheses fraction numerator V 2 over denominator V 1 end fraction close parentheses to the power of r
fraction numerator 2 P over denominator 0.75 P end fraction equals open parentheses 2 over 1 close parentheses to the power of r

8 over 3 equals open parentheses 2 over 1 close parentheses to the power of r
T A K I N G space L O G
L o g 8 minus log 3 equals r log 2
r equals 1.41 end style
Answered by Expert 4th December 2017, 12:59 PM
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