Newton's Law of Cooling states that the change
of the temperature of an object is proportional to the difference between its
own temperature and the ambient temperature over time.
Therefore when expressed mathematically, this is equivalent
to:
dT = - k (T – Ts) dt
dT / (T – Ts) = - k dt
Integrating:
ln [(T2– Ts) / (T1– Ts)] = - k (t2 – t1)
Before we plug in the values, let us first convert the
temperatures into absolute values R (rankine) by adding 460.
R = ˚F + 460
T1 = 200 + 460 = 660 R
Ts = 70 + 460 = 530 R
ln [(T2– 530) / (660 – 530)] = - 0.6 (2 - 0)
T2 = 569.16 R
T2 = 109 ºF
Answer: After 2 hours, it will be 109 ºF
Answer:
10 thanks by the way
Step-by-step explanation:
Have a great day
Answer:
r = 7
Step-by-step explanation:
60 = -24 + 12r
<u>+24 +24</u>
84 = 12r
84 ÷ 12 = r
7 = r
Check:
60 = -24 + 12r
-24 + 12(7)
-24 + 84 = 60
Answer:
All whole numbers are rational numbers.
<u>False</u>
All integers are whole numbers.
<u>True</u>
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There are integers that are not rational numbers.
<u>True</u>
There are whole numbers that are not integers.
<u>True.</u>
Answer:
Yes because after solving the equation, x does indeed equal 14.
Step-by-step explanation:
-5 + 2x = 23
2x = 23 + 5
2x = 28
x = 14
