Consider a stormwater retention pond that has no outflow. The pond is initially filled with pristine rainwater to a volume of 35 m³, and it loses water at a rate of 55 L/day due to evaporation. Over a period of two weeks, the pond receives an inflow of 650 L/day of drainage water from a nearby construction project. The construction drainage is contaminated with road salt to a concentration of 250 mg/L salt. Assume that salt is a conservative substance and does not precipitate out of solution. a. Construct a mass balance on flow. Define an initial condition for flow in the pond. Use the initial condition to solve the volume mass balance. Express volume in the pond as a function of time (V(t)). b. Construct a mass balance on salt. Substitute the expression for volume as a function of time into the salt mass balance. Express the change in salt concentration with time as a function of time (dC/dt). c. What is the rate of change (mg/(L-day)) of the salt concentration in the pond at 14 days after the start of the construction drainage inflow?

Consider a stormwater retention pond that has no outflow. The pond is initially filled with pristine rainwater to a volume of 35 m³, and it loses water at a rate of 55 L/day due to evaporation. Over a period of two weeks, the pond receives an inflow of 650 L/day of drainage water from a nearby construction project. The construction drainage is contaminated with road salt to a concentration of 250 mg/L salt. Assume that salt is a conservative substance and does not precipitate out of solution. a. Construct a mass balance on flow. Define an initial condition for flow in the pond. Use the initial condition to solve the volume mass balance. Express volume in the pond as a function of time (V(t)). b. Construct a mass balance on salt. Substitute the expression for volume as a function of time into the salt mass balance. Express the change in salt concentration with time as a function of time (dC/dt). c. What is the rate of change (mg/(L-day)) of the salt concentration in the pond at 14 days after the start of the construction drainage inflow?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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