A Certain Chemical Dissolves in Water at a Rate Proportional

question 64

Short Answer

A certain chemical dissolves in water at a rate proportional to the product of the amount of chemical that had not yet been dissolved and the difference between its concentration in a saturated solution and its current concentration.
It is known that 100 g of the chemical are dissolved in 200 g of saturated solution. If 60 g of the chemical are added to 200 g of water, 20 g are dissolved in 2 h.
How many grams of the chemical are dissolved in 4 h?

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Definitions:

Computer Simulation

The use of software to create a virtual model of a real-world system or process to study its behavior under various conditions.

Random Number Intervals

Ranges generated through a stochastic process, used in simulations and statistical sampling to represent uncertain outcomes.

Random Numbers

Numbers generated in a sequence such that each number's appearance is without pattern and unpredictable, often used in statistical sampling and computer simulations.

Computer Simulation

A method that uses algorithms and computational models to replicate complex systems and study their behavior under various conditions.