Two bodies 1 and 2 with heat capacities C₁ and C₂ and temperatures T₁ and T₂ are brought into thermal contact in a thermostat, after which the temperature T is reached in thermal equilibrium.
Express C₂ in terms of T₁, T₂, T, and C₁.
Solurtion:
Q₁ = C₁ (T-T₁)
Q₂ = C₂ (T-T₂)
Q₁ + Q₂ = 0
C₁ (T-T₁) + C₂(T-T₂)=0
C₂(T-T₂) = C₁ (T₁-T)
C₂ = C₁ (T₁-T) / (T-T₂)
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