# How much does the internal energy of the 40-ton Tsar Cannon change at the maximum temperature drop recorded

September 12, 2021 | education

| **How much does the internal energy of the 40-ton Tsar Cannon change at the maximum temperature drop recorded in Moscow from + 36 ° C to – 42.2 ° C? Specific heat capacity of metal 0.45 kJ / (kg • K)**

Data: m (mass of the Tsar Cannon) = 40 t (40 * 10 ^ 3 kg); tmax (maximum temperature in Moscow) = 36 ºС; tmin (minimum temperature in Moscow) = -42.2 ºС

Constants: C (specific heat capacity of the Tsar Cannon metal) = 0.45 kJ / (kg * K) or 450 J / (kg * K).

The change in the internal energy of the Tsar Cannon is determined by the formula: Q = C * m * (tmax – tmin).

Let’s make the calculation: Q = 450 * 40 * 10 ^ 3 * (36 – (-42.2)) = 1407600 * 103 J ≈ 1.4 * 10 ^ 9 J (1.4 GJ).

Answer: The internal energy of the Tsar Cannon will change by 1.4 GJ.

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