8. Many hot water heating systems have a reservoir tankconnected directly to the

Question

8. Many hot water heating systems have a reservoir tankconnected directly to the pipeline, so as to allow for expansionwhen the water becomes hot. The heating system of a house has 76 mof copper wire whose inside radius is 9.5 x 10^-3 m. When the waterand pipe are heated from 24 to 78 degrees C, what must be theminimum volume of the reservoir tank to hold the overflow ofwater?
a. 8.0 × 10–5 m^3
b. 2.4 × 10–4 m^3
c. 1.8 × 10–4 m^3
d. 9.5 × 10–5 m^3
e. 3.0 × 10–4 m^3
the correct answer is in bold. Please explain how to do the problem. Thanks! Will rate lifesaver! 8. Many hot water heating systems have a reservoir tankconnected directly to the pipeline, so as to allow for expansionwhen the water becomes hot. The heating system of a house has 76 mof copper wire whose inside radius is 9.5 x 10^-3 m. When the waterand pipe are heated from 24 to 78 degrees C, what must be theminimum volume of the reservoir tank to hold the overflow ofwater?

the correct answer is in bold. Please explain how to do the problem. Thanks! Will rate lifesaver!

Explanation / Answer

the minimum volume of the reservoir tank to hold the overflowof water is V = Vo * (1 + t) Vo = A * l = * r2 * l where r = 9.5 * 10^-3 m and l = 76 m = 51 * 10-6 /K t = t2 - t1 = (78 - 24)oC = 54 oC = (54 + 273) K = 327 K

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