Question

he plant started to purify its wastewater before discharging it into the lake. How long will...

he plant started to purify its wastewater before discharging it into the lake. How long will it take for the concentration of the chemical to reduce to 1% of its steady-state value, if its half-life is 2 years?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

The formula is given as A= A0(1/2)^(t/h)

h is half life and A is the final concentration.

A= 1, A0 = 100

1 = 100 (0.5)^(t/2)

0.01 = 0.5^(t/2)

Taking ln on both sides,

ln (0.01)= (t/2) ln(0.5)

-4.605 = (t/2) (-0.693)

t = 13.29 hrs

Time taken for the decay = 13.29 hrs

Add a comment
Know the answer?
Add Answer to:
he plant started to purify its wastewater before discharging it into the lake. How long will...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A wastewater treatment plant must disinfect its effluent before discharging the wastewater to a near-by stream....

    A wastewater treatment plant must disinfect its effluent before discharging the wastewater to a near-by stream. The wastewater contains 4x107 fecal coliform colony-forming units (CFU) per 100 mL. The maximum permissible fecal coliform concentration that may be discharged is 2,000 fecal coliform CFU/100mL. It is proposed that a pipe carrying the wastewater be used for disinfection process. Determine the length of pipe required if the linear velocity of the wastewater in the pipe is 0.6 m/sec. Assume that the pipe...

  • 1. In 1970, the total phosphorus (TP) load to Lake Erie was 18.150 tonnes/year (where tonnes...

    1. In 1970, the total phosphorus (TP) load to Lake Erie was 18.150 tonnes/year (where tonnes or metric ton = 1,000 kg). The surface area, volume, and outflow from Lake Erie are given as 25.2 x 10 m² 468 x 10 m, and 182 x 10 m yr, respectively. Based on previous evaluations, the total phosphorus is removed from the lake with an apparent settling rate of 16 m/yr. a. Draw a diagram and write the mass balance equation for...

  • please help! 3) Practice tice problem 1. When drinking water treatment plants chlorinate water, the chlorine must remain in contact with the water for at least 30 minutes before being delivered to...

    please help! 3) Practice tice problem 1. When drinking water treatment plants chlorinate water, the chlorine must remain in contact with the water for at least 30 minutes before being delivered to customers. A water plant operator wishes to know i his existing 10,000-gallon storage tank can provide this HRT. He does a wash-out tracer test with fluoride salt (conservative). The initial concentration is i2 mg/L and after an hour of feeding non-fluoridated water through the tank at 20 gpm,...

  • The Penn State Wastewater Treatment Plant experiences high fluctuations in flow rate throughout the year. During...

    The Penn State Wastewater Treatment Plant experiences high fluctuations in flow rate throughout the year. During football games, the flowrate and BOD concentration entering the treatment plant increases, while in the summer when the majority of students are gone, the flow rate decreases a. Describe what would happen to the treatment efficiency during each of these events (football games and summer). Justify your answer by describing how the F/M ratio and the mean cell residence time (ec) will change during...

  • 1. RM (65 kg) is a 78 years old-man with a heart condition. He is hospitalized...

    1. RM (65 kg) is a 78 years old-man with a heart condition. He is hospitalized and administered DRUG-A (F 0.02; fe 0.03; t24 hours; Vd 1.2 L/kg) as an iv-infusion. The effective plasma concentration for Drug A is 3 ug/mL a. Calculate the infusion rate necessary to maintain a steady state plasma concentration of 3 ug/mL. b Calculate how long it will take to reach 90% of steady state c. Calculate the loading dose. 2. After three days of...

  • 1. The half-life for a reaction is 726 seconds. Starting with a concentration of 0.600 M,...

    1. The half-life for a reaction is 726 seconds. Starting with a concentration of 0.600 M, what will the concentration be after 1452 seconds if the reaction is first order? Enter your answer 2. How long will it take for the concentration to reach 0.100 M? Enter your answer 3.A first-order reaction has a half-life of 76.2 minutes. How long will it take for the concentration to decrease to 6.25% (1/16) of its original value? Enter your answer 4. The...

  • 1. RM (65 kg) is a 78 years old-man with a heart condition. He is hospitalized...

    1. RM (65 kg) is a 78 years old-man with a heart condition. He is hospitalized and administered DRUG-A (F - 0.02; fe - 0.03; t 2-4 hours; Vd- 1.2 L/kg) as an iv-infusion. The effective plasma concentration for Drug A is 3 ug/mL. a. Calculate the infusion rate necessary to maintain b. Calculate how long it will take to reach 90% of c. Calculate the loading dose. a steady state plasma concentration of 3 ug/mL steady state

  • A first-order reaction has a half-life of 20.8 s . How long does it take for...

    A first-order reaction has a half-life of 20.8 s . How long does it take for the concentration of the reactant in the reaction to fall to one-fourth of its initial value?

  • Molecules with a diffusion constant D = 1.0 x 10-10 m?s-1 are released at a constant...

    Molecules with a diffusion constant D = 1.0 x 10-10 m?s-1 are released at a constant rate of 1010 molecules/s in the middle of a large pool and diffuse away. (a) What is the steady-state concentration 1 cm away from the source? (b) How long after the release has started will it take for the concentration to reach / of its steady state value 1 cm away from the source?

  • 2. [20] A small town has been directed to upgrade its primary wastewater treatment plant to...

    2. [20] A small town has been directed to upgrade its primary wastewater treatment plant to a secondary plant that can meet an effluent standard of 25.0 mg/L BODs and 30.0 mg/L suspended solids. They have selected a completely mixed activated sludge system. The following data are available from the existing primary plant. Existing plant effluent characteristics Flow = 0.2000 m 3/s soluble BODs-80 mg/L Assume that the BOD5 of the suspended solids may be estimated as equal to 50%...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT