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a water holding tank measures 115 m long, 45 m wide, and 9 m deep. traces of mercury have been found in the tank, with a concentration of 65 mg/l. what is the total mass of mercury in the tank? answer in units of kg

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id1001265

The tank that has a volume of 46575 m³ with a concentration of 65 mg/l has a total mass of mercury of: 3027.375 kg

To solve this problem the formulas and the procedures that we have to use are:

  • c= m(solute)/v(solution)
  • v =  long * wide * deep

Where

  • c = concentration of solution
  • m = mass of solute
  • v = volume of solution

Information about the problem:

  • long = 115 m
  • wide = 45 m
  • deep = 9 m
  • c= 65 mg/l
  • v(solution)=?
  • m(mercury)=?

Using the volume formula we get:

v=  long * wide * deep

v(solution) =  115 m * 45 m * 9 m

v(solution) = 46575 m³

By converting the volume units from m³ to liters we have:

v(solution) = 46575 m³ * 1000 l/1m³

v(solution) = 43.575*10^6 l

Applying the concentration formula and clearing the mass we get:

c= m(solute)/v(solution)

m(solute) = c * v(solution)

m(mercury) = 65 mg (mercury)/l (solution)  * 43.575*10^6 l (solution)

m(mercury) = 3.027375*10^9 mg

By converting the mass units from (mg) to (kg) we have:

m(mercury) = 3.027375*10^9 mg * 1 kg/ 1 * 10^6 mg

m(mercury) = 3027.375 kg

What is a solution?

In chemistry a solution is known as a homogeneous mixture of two or more components called:

  • Solvent
  • Solute

Learn more about chemical solution at: brainly.com/question/13182946 and brainly.com/question/25326161

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