Determine how many degrees 100 g of water will heat up if the entire amount of heat released when a current of 5A

Determine how many degrees 100 g of water will heat up if the entire amount of heat released when a current of 5A flows through a conductor with a resistance of 10 Ohm for 2 minutes is consumed.

Answer: 71.43 degrees.
Explanation: first you need to find the amount of heat, which is found according to the Joule-Lenz law:
Q = I ^ 2 * R * t.
Before substituting, let’s translate the data into the SI system:
t = 2 min = 2 * 60 = 120 s;
m = 100 g = 100/1000 = 0.1 kg;
c = 4200 J / kg * deg.
And to find the temperature difference, you need to use the formula:
Q = c * m * (t2-t1).
Thus, we substitute the known values into the formula and get the following:
I ^ 2 * R * t = c * m * (t2-t1)
(t2-t1) = I ^ 2 * R * t / (c * m) = 5 ^ 2 * 10 * 120 / 0.1 * 4200 = 71.43 degrees.



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