Answer:
The answer is 960 kg
Explanation:
Solution
Given that:
Assume the initial dye concentration as A₀
We write the expression for the dye concentration for one hour as follows:
ln (C₁) = ln (A₀) -kt
Here
C₁ = is the concentration at 1 hour
t =time
Now
Substitute 480 g for C₁ and 1 hour for t
ln (480) = ln (A₀) -k(1) ------- (1)
6.173786 = ln (A₀) -k
Now
We write the expression for the dye concentration for three hours as follows:
ln (C₃) = ln (A₀) -k
Here
C₃ = is the concentration at 3 hour
t =time
Thus
Substitute 480 g for C₃ and 3 hour for t
ln (120) = ln (A₀) -k(3) ------- (2)
4.787492 = ln (A₀) -3k
Solve for the equation 1 and 2
k =0.693
Now
Calculate the amount of blue present initially using the expression:
Substitute 0.693 for k in equation (2)
4.787492 = ln (A₀) -3 (0.693)
ln (A₀) =6.866492
A₀ =e^6.866492
= 960 kg
Therefore, the amount of the blue dye present from the beginning is 960 kg
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Answer:
v_r = 3.1974 km/h @ a = 77.8 degrees south of east
Explanation:
Given:
- velocity of ferry v_f = 18 km / h
- velocity of ferry relative to river v_f/r = 18.4 km /h
Find:
Determine the velocity of the river v_r.
Solution:
- make a graphical representation of the information given as shown:
- Use the vector equations that relates frames:
v_f = v_r + v_f/r
- Use cosine rule on the given representation:
v_r^2 = v_f ^2 + v_f/r^2 - 2*v_f/r*v_f*cos(10)
v_r^2 = 18^2 + 18.4^2 - 2*18*18.4*cos(10)
v_r^2 = 336.3916
v_r = 3.1974 km/h
- Use sine law for direction:
18 / sin(a) = 3.1974 / sin 10
sin (a) = 0.9775652712
a = 77.8 degrees
Answer:
faster heat conduction
Explanation:
The advantage of mold that maintains intimate contact with the material is that thermal contact resistance between the two is going to be reduced. That is, it would be lower.
Consequently, what would be happening would be heat getting conducted faster, this would then allow for higher traverse speeds or it could allow for the usage of shorter molds.
