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MArishka [77]
3 years ago
13

What is the rate of heat transfer required to melt 1-ton of ice at 32 F in 24 hours?

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:

3865.74 J/s

Step-by-step explanation:

mass of ice, m = 1 ton = 1000 kg

time , t = 24 hours

latent heat of fusion of ice, L  = 334000 J/kg

Heat required to melt, H = m x L

where, m is the mass of ice and L be the latent heat of fusion

So, H = 1000 x 334000 = 334 xx 10^6 J

Rate of heat transfer = heat / time = \frac{334\times 10^{6}}{86400}

Rate of heat transfer = 3865.74 J/s

thus, the rate of heat transfer is 3865.74 J/s.

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The city of Oakland is experiencing a movement of its population to the suburbs. At present 85% of the total population lives in
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Answer:

A. \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]

B.   (0.85    0.15)

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Step-by-step explanation:

(a) The transition matrix for the information is

                C        S

            \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right]

(b) the probability vector for the information is

         (\frac{85}{100}  \ \   \frac{15}{100} )

and this gives us

         (0.85    0.15)

(c) we simply multiply the above  two matrices to find the percent of the population can be expected to be in each category after one year after

\left[\begin{array}{cc}0.85&0.15\end{array}\right] \left[\begin{array}{cc}0.93&0.07&\\0.01&0.99&\end{array}\right] = \left[\begin{array}{cc}0.792&0.208&\end{array}\right]

in the city there are 79.2% while in the suburb, there are 20.8%

5 0
3 years ago
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