Question

A chemist must dilute 58.0 mL of 13.5 M aqueous silver nitrate (AgNO3)solution until the concentration falls to 5.00 M . He'll do this by adding distilled water to the solution until it reaches a certain final volume. Calculate this final volume, in liters. Round your answer to 3significant digits.

Answer 1

To develop this problem it is necessary to apply the concepts related to Continuity.

The continuity equation could be defined as

`m_1V_1=m_2V_2`

Where,

`m_i`= Mass

`V_i =` Volume

Our values are given as

`m_1`= 13.5M

`m_2`= 5M

`V_1`= 58.0mL

Using the previous equation and rearrange to find
`V_2` we have,

`m_1V_1=m_2V_2 \\V_2 = (m_1V_1)/(m_2)\\V_2 = ((13.5)(58))/((5))\\V_2 = 156.6mL`

`V_2 = 156.6mL((1L)/(1000mL))=0.157L`

Therefore the final volume in liters would be 0.157L.