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Sagot :
Answer:
La temperatura de equilibrio del sistema es de aproximadamente 59,17 °C
Explanation:
La masa de la esfera de aluminio, m₁ = 250 g
La temperatura inicial de la esfera de aluminio, T₁ = 230 °C
La capacidad calorífica específica del aluminio, c₁ = 911 J / (kg·°C)
La masa del alcohol, m₂ = 450 g
La temperatura inicial del alcohol, T₂ = 18 ° C
La capacidad calorífica específica del alcohol, c₂ = 2,100 J/(kg·°C)
Observamos que el punto de ebullición del alcohol ≈ 78,37°C
Sea 'T' la temperatura de equilibrio del sistema, obtenemos;
ΔQ₁ = ΔQ₂
ΔQ₁ = Calor transferido desde el aluminio = m₁ · c₁ · (T₁ - T)
ΔQ₂ = Calor transferido al alcohol = m₂ · c₂ · (T - T₂)
∴ m₁ · c₁ · (T₁ - T) = m₂ · c₂ · (T - T₂)
Por lo tanto, por sustitución, obtenemos
250 × 911 × (230 - T) = 450 × 2100 × (T - 18)
Usando una calculadora gráfica, tenemos;
T = 277570/4691 °C ≈ 59,17 °C
La temperatura de equilibrio del sistema, T ≈ 59.17 °C
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