SOLUTION: The efficiency e of a gasoline engine as a function of its compression ratio r is given by e =1− r^1−γ , where γ is a constant.
Find γ for e = 0.55 and
Algebra ->
Matrices-and-determiminant
-> SOLUTION: The efficiency e of a gasoline engine as a function of its compression ratio r is given by e =1− r^1−γ , where γ is a constant.
Find γ for e = 0.55 and
Log On
Question 970842: The efficiency e of a gasoline engine as a function of its compression ratio r is given by e =1− r^1−γ , where γ is a constant.
Find γ for e = 0.55 and r = 7.5. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Can plug in numbers and solve or rewrite the equation or do both.
eff =1− r^1−γ I use eff to distinguish it from the number e
eff-1=-r^(1-y)
1-eff= r^ (1-y)
ln (1-eff)= (1-y) ln r
ln (0.45)=(1-y) ln (7.5)
-0.799=(1-y) *2.015
divide by 2.015
1-y=-0.397
y-1=0.397
y=1.397
0.55=1- 7.5^ (1-1.397)
0.55= 1 - 7.5^(-0.397)
0.55=1-0.45
gamma=1.397
