What volume of a 6.84M sodium bromide solution would be needed to make 588mL of a 1.84M solution by dilution?

1 Answer
Jul 29, 2016

Answer:

The initial volume is #158 mL#

Explanation:

Whenever you are dealing with a dilution, (going from a higher concentration to a lower concentration), use the equation below:
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Let's determine our known and unknown variables:

#color(coral)("Knowns:"#

  • Initial Molarity
  • Final Volume
  • Final Molarity

#color(magenta)("Unknowns:"#

  • Initial Volume

Next, we rearrange the equation to solve for #V_1# by dividing by #M_1# on both sides of the equation:

#V_1=(M_2xxV_2)/M_1#

Plug in the known values and solve for your unknown:
#V_1=(1.84cancel"M"xx588mL)/(6.84cancel"M")#

Thus,

#V_1 = 158 mL#