- #1
hangainlover
- 83
- 0
lets say there is a pond of 1,000,000 gallons of water.
and the total of 10,000g of chemical is evenly dissolved in the water
Fresh water starts pouring into the pond at the rate of 300 gallons/hour and the pond also releases water at the rate of 300 gallons/hour (hence no change in total amount in the pond).
Can you set up a differential equation describing the rate of change of the chemical in the pond. (dc/dt)
(I know that dC/dt = (the total amount of the chemical in the pond at a given time / 1,000,000 gallons of waer)*300 gallons/3600seconds) but i can't define the total amount of chemcial left in the pond at a given time, as the total amount doesn't change linearly or by a pattern i can see )
and the total of 10,000g of chemical is evenly dissolved in the water
Fresh water starts pouring into the pond at the rate of 300 gallons/hour and the pond also releases water at the rate of 300 gallons/hour (hence no change in total amount in the pond).
Can you set up a differential equation describing the rate of change of the chemical in the pond. (dc/dt)
(I know that dC/dt = (the total amount of the chemical in the pond at a given time / 1,000,000 gallons of waer)*300 gallons/3600seconds) but i can't define the total amount of chemcial left in the pond at a given time, as the total amount doesn't change linearly or by a pattern i can see )