A 20.0 ml solution of Sr(OH)2 is neutralized after 25.0 ml of standard 0.05 M HCI is added. what is the concentration of Sr(OH)2? 2HCI+Sr(OH)2 2H2O+SrCI2

1 Answer
Mar 29, 2018

#"0.03 M"#.

Explanation:

Here's the formula for molarity:

#"molarity" = "number of moles"/"volume (L)"#

To find the molarity of #Sr(OH)_2#, we'll need to find the number of moles of #Sr(OH)_2#. The question also already tells us its volume (#"20.0 mL"#, which is #"0.02 L"#), so we won't need to find that.

From the chemical formula, we know that #Sr(OH)_2# is a diprotic base because there are #2# #OH# ions.
This just means that #Sr(OH)_2# is capable of accepting #2# #H^+# ions in a neutralization reaction.

Knowing this, we can say that, for every #1# mole of #Sr(OH)_2# that reacts, #2# moles of the monoprotic #HCl# will have to react.
From this, we can find the number of moles of #Sr(OH)_2#, because it will be two times the number of moles of #HCl#.

The number of moles of #HCl# can be found by multiplying its molarity (AKA number of moles per litre) with its volume (the number of litres there are).

#"moles of HCl" = "0.05 M" xx "25.0 mL" = "0.05 M" xx "0.025 L"#
#"= 0.00125 moles"#

Therefore, #0.00125-:2 = 0.000625# moles of #Sr(OH)_2# must have reacted.

Now, we can just plug all of these values into the formula for molarity:

#"molarity" = "number of moles"/"volume (L)"#

#"molarity" = "0.000625 moles"/"0.02 L" = "0.03125 M"#

The molarity of #HCl# that was given to us in the question only had #1# significant figure, so our answer should also only have #1# significant figure.

That makes it #"0.03 M"#.