Equation for Half life :
A = a(0.5)^(t/h)
A is current amount, "a" is initial amount, h is halflife, t is time
5 = 40(0.5)^(t/1.3x10^9)
5/40 = (0.5)^(t/1.3x10^9)
take the log of both sides , power rule
Log(5/40) = (t/1.3x10^9) * Log(0.5)
(1.3x10^9) * Log(5/40) / Log(0.5) = t
3.9x10^9 years = t
And if you think about what a half life is, the time it take for the amount to reduce to half.
40/2 = 20
20/2 = 10
10/2 = 5
It went through 3 half-lifes
3 * 1.3x10^9 = 3.9x10^9 years
Given :
Mass of caffeine at dangerous level , m = 3 g .
Coffee contains , 21.5 mg/oz OF caffeine .
Mass of cup , 8 oz/cup .
To Find :
Number of cups till dangerous level .
Solution :
Caffeine in a cup of coffee is given by :
Now , number of cups at the dangerous level is given by :
Now , number of cups should be integer .
Therefore , 18 cups of coffee per day is dangerous .
Answer : The measurement units were biased.
Explanation : While the wildlife researcher weighed all the raccoons that were trapped only in the suburban neighborhood neglected the count of the raccoons in whole state. As per the statement stated in the problem "weighed all the raccoons that were trapped in suburban neighborhoods" clearly shows the confirmation of the same.
<span>It is classified as a homogeneous mixture because you cannot see any of the parts of the solution because they've been mixed perfectly.</span>
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