To what temperature the cast-iron cauldron, weighing 7 kg, was heated, if 560 kJ

To what temperature the cast-iron cauldron, weighing 7 kg, was heated, if 560 kJ of heat was released during heating. The initial temperature is 20 degrees. The specific heat is 540 J / kg * C.

Given: m (mass of a heated cast-iron cauldron) = 7 kg; Q (spent heat) = 560 kJ (560 * 10 ^ 3 J); t0 (cauldron temperature before heat transfer) = 20 ºС.

Reference values: according to the condition Сч (specific heat capacity of cast iron) = 540 J / (kg * ºС).

The temperature that the cast-iron cauldron acquired during heating can be expressed from the formula: Q = Ch * m * (t – t0), whence t – t0 = Q / (Cch * m) and t = Q / (Cch * m) + t0 …

Calculation: t = 560 * 10 ^ 3 / (540 * 7) + 20 = 168.1 ºС.

Answer: The cast iron cauldron taken was heated to 168.1 ºС.