What is the mass of a piece of tin if the amount of heat 21 kJ was spent on heating it from 32 degrees Celsius

What is the mass of a piece of tin if the amount of heat 21 kJ was spent on heating it from 32 degrees Celsius to the melting point and then melting it. The melting point of tin is 232 degrees Celsius, the specific heat of fusion of tin is 59000 J / kg, and the specific heat of tin is 230 J / kg C.

To find the value of the mass of a molten piece of tin, we use the formula: Q = (λ + Сo * (tmelt – t0)) * m, whence m = Q / (λ + Сo * (tmelt – t0)).

Constants and variables: Q – heat consumption (Q = 21 kJ = 21 * 10 ^ 3 J); λ – specific heat of fusion (according to the condition λ = 59000 J / kg); Co is the specific heat capacity (according to the condition Co = 230 J / (kg * K)); tmelt – melting temperature (by condition tm = 232 ºС); t0 is the initial temperature of the piece (t0 = 32 ºС);

Calculation: m = Q / (λ + Сo * (tmelt – t0)) = 21 * 10 ^ 3 / (59000 + 230 * (232 – 32)) = 0.2 kg.

Answer: The mass of a molten piece of tin is 0.2 kg.