To what height could this weight of 2 tons be raised if it was possible to fully use the energy, to free itself when
To what height could this weight of 2 tons be raised if it was possible to fully use the energy, to free itself when a glass of water cools down from a temperature of 100 ° C to 20 ° C? Glass volume 250 cubic centimeters
Given:
m = 2 t;
t1 = 100 degrees:
t2 = 20 degrees;
V = 250 cm ^ 2.
Find: h.
Decision:
We will use the mass formula. It looks like this: m = p * V.
Let’s substitute the values into it and get: m = 1000 * 250 = 250000 g. Let’s translate the mass into another system of calculation, namely in kilograms. Then we get m = 250000/1000000 = 0.25 kg /
Let’s write down one more formula: m1 * g * h = c * m * (t2-t1).
From it, we express the height that we need to find by condition.
h = c * m * (t2-t1) / m1 * g.
Substitute all the values of the variables into the formula and find the answer. h = 4200 * 0.25 * 80/2 * 10 = 4200 m.
Answer: 4200