A10-gram sample of zinc loses 560 j of heat and has a final temperature of 100
degree celsius. what was its initial temperature?

Initial temperature is 243.59°C

The quantity of heat is calculated by multiplying the mass of a substance by its specific heat capacity and change in temperature.

That is; Q = m×c×ΔT

In this case;

Quantity of heat = 560 J

Mass of the Sample of Zinc = 10 g

Final temperature = 100°C

We are required to determine the initial temperature;

This can be done by replacing the known variables in the formula of finding quantity of heat,

Specific heat capacity, c, of Zinc = 0.39 J/g.°C

Therefore,

560 J = 10 g × 0.39 J/g°C × ΔT

ΔT = 560 J ÷ (3.9 J/°C)

   = 143.59°C

But, since the sample of Zinc lost heat then the temperature change will have a negative value.

ΔT = -143.59°C

Then,

ΔT  = T(final) - T(initial)

Therefore,

T(initial) = T(final) - ΔT

              = 100°C - (-143.59°C)

              = 243.59°C

Hence, the initial temperature of zinc sample is 243.59°C

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