00:01
So we can say that the heat lost by the metal would be the heat lost by the metal to the environment would be lost, would be q sub m.
00:14
And this would equal the mass of the metal times the specific heat capacity of the metal multiplied by t minus t sub m being t.
00:26
T sub m being the initial temperature of the metal, t being the equilibrium temperature.
00:33
The thermal energy gained by the water q sub w would be equaling to the mass of the water times the specific heat of the water multiplied by the equilibrium temperature minus the temperature of the water we can say that the sums must be equal to zero and so we can say that then q sub m equaling negative q sub w and and given that, we can then substitute m sub m, c sub m, t minus t sub m, should be equal to negative m sub w, c sub w, t minus t sub w.
01:30
And we find that then the specific heat capacity of the middle would be equaling to the mass of the water, specific heat capacity of the water, equilibrium temperature minus the initial temperature of the water and this would be divided by the mass of the metal multiplied by t minus t sub m and at this point we can solve so it's be negative 1 .0 kilograms multiplied by 4 .19 this would be 1 .4 .19 kilojoules per kilogram per calvin, multiplied by 32 degrees celsius minus 20 degrees celsius...