Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
Answer:
(4,3)
Step-by-step explanation:
i looked it up on mathaway
If the original experiment trial was 100 draws the
A. True - Experimental probability of drawing a club is 32%
B. True - Theoretical probability of drawing a diamond is 25%
C. True - Experimental probability of drawing a spade 90 times out of 500 trials
According to steam tables, steam produced from liquid water at 100 deg. C and standard atmospheric pressure (101.3 kPa) is 2257.0 kJ/kg.K.
Note : this value varies greatly with pressure and temperature.
