Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at
1 answer:
The salt enters at a rate of (5 g/L)*(3 L/min) = 15 g/min.
The salt exits at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
Thus, the total rate of salt flow, represented by in grams, is defined by the differential equation,
which is linear. Shift the term to the right side, then multiply both sides by
:
Next, integrate both sides and solve for :
Initially, the tank contains 5 g of salt at time , so we have
The duration required for the tank to contain 20 g of salt is , such that
You might be interested in
Respuesta:
Explicación paso a paso:
(Este ejercicio se presenta en español y por eso la explicación será en español)
El número de botellas de 0.25 litros que se llenan con 49 litros de yogur es:
La cantidad de yogur que queda es:
A continuación, la cantidad de botellas de 0.5 litros que se pueden llenar con lo que queda es:
Finalmente, el número total de botellas que se llenará es: