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golf tierra rejada - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Initial conditions: 10 kg of salt in 200 L → concentration = \( \frac{10}{200} = 0.05 \) kg/L.

📌 Inflow: \( 0.1 \, \text{kg/L} \times 5 \, \text{L/min} = 0.5 \, \text{kg/min} \).

📌 Outflow: \( \frac{V(t)}{200} \times 0.1 \times 5 \, \text{L/min} = \frac{0.5V(t)}{200} \).

📌 Let \( S(t) \) be the salt in kg at time \( t \).

📌 The differential equation is \( \frac{dS}{dt} = 0.5 - \frac{0.5S}{200} \).

📌 Solving gives \( S(t) = 10e^{-0.0025t} + 20(1 - e^{-0.0025t}) \).

📌 At \( t = 30 \), \( S(30) = 10e^{-0.075} + 20(1 - e^{-0.075}) \approx 14.31 \) kg.

📌 #### 14.31

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