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How many ml of 0

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How many ml of 0.250 M HCl would react exactly with 30.0 mL of the 0.150 M solution of Ca (OH ). solution ?
The chemical reaction involved is: HCl(aq) + NaOH (aq) NaCl (8q) + H20 (1) Given : Solution :

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36.0 mL

Step-by-step explanation

The balanced chemical equation is: 2HCl(aq) + Ca(OH)2(aq) → CaCl2(aq) + 2H2O(l)

 

1. Find the moles of Ca(OH)2 by multiplying 0.0300 L with 0.150 mol/L Ca(OH)2.

mol Ca(OH)2 = 0.150 mol/L Ca(OH)2 x 0.0300 L = 4.50 x 10-3 mol

 

2. Convert mol Ca(OH)2 to mol HCl using the 1:2 mole ratio of Ca(OH)2 to HCl based on their coefficients in the balanced chemical equation.

4.50x10−3molCa(OH)2?(1molCa(OH)2?2molHCl?)=9.00x10−3molHCl

 

3. Convert mol HCl to L HCl using the given molarity of HCl (0.250 M).

9.00x10−3molHCl(0.250molHCl1L?)=0.0360L

 

4. Convert L HCl to mL HCl  using 1 L = 1000 mL as conversion factor.

0.0360L(1L1000mL?)=36.0mL

 

Therefore, 36.0 mL of 0.250 M HCl is needed to exactly react with 30.0 mL of the 0.150 M solution of Ca(OH)2.