100.0 mL of Ca(OH)2 solution is titrated with 5.00 x 10–2 M HBr. It requires 36.5 mL of the acid solution for neutralization. What is the number of moles of HBr used, and the concentration of the Ca(OH)2 solution, respectively?

Respuesta :

Answer:

The number of moles HBr = 0.001825

The concentration of Ca(OH)2 = 0.009125 M

Explanation:

Step 1: Data given

Volume of the Ca(OH)2 = 100.0 mL = 0.100 L

Molarity of HBr = 5.00 * 10^-2 M

Volume of HBR = 36.5 mL = 0.0365 L

Step 2: The balanced equation

Ca(OH)2 + 2HBr → CaBr2 + 2H2O

Step 3: Calculate molarity of Ca(OH) 2

b*Va* Ca = a * Vb*Cb

⇒with b = the coefficient of HBr = 2

⇒with Va = the volume of Ca(OH)2 = 0.100 L

⇒with ca = the concentration of Ca(OH)2 = TO BE DETERMINED

⇒with a = the coefficient of Ca(OH)2 = 1

⇒with Vb = the volume of HBr = 0.0365 L

⇒with Cb = the concentration of HBr = 5.00 * 10^-2 = 0.05 M

2 * 0.100 * Ca = 1 * 0.0365 * 0.05

Ca = (0.0365*0.05) / 0.200

Ca = 0.009125 M

Step 4: Calculate moles HBr

Moles HBr = concentration HBr * volume HBr

Moles HBr = 0.05 M * 0.0365 L

Moles HBr = 0.001825 moles

The number of moles of HBr and the concentration of the Ca(OH)2 solution is:

The number of moles HBr is = 0.001825

The concentration of Ca(OH)2 is= 0.009125 M

What is the Acid solution for neutralization?

Data given as per question:

The Volume of the Ca(OH)2 is = 100.0 mL = 0.100 L

Then, Molarity of HBr is = 5.00 * 10^-2 M

After that Volume of HBR is = 36.5 mL = 0.0365 L

When The balanced equation is:

Then, Ca(OH)2 + 2HBr → CaBr2 + 2H2O

Then the Calculate molarity of Ca(OH) 2

After that b*Va* Ca is = a * Vb*Cb

Then ⇒with b = the coefficient of HBr is = 2

Now, ⇒with Va = the volume of Ca(OH)2 is = 0.100 L

After that ⇒with ca is = the concentration of Ca(OH)2 = TO BE DETERMINED

Now, ⇒with a = the coefficient of Ca(OH)2 = 1

Then ⇒with Vb is = the volume of HBr = 0.0365 L

Now, ⇒with Cb is = the concentration of HBr = 5.00 * 10^-2 = 0.05 M

Then 2 * 0.100 * Ca = 1 * 0.0365 * 0.05

Now, Ca is = (0.0365*0.05) / 0.200

Therefore, Ca is = 0.009125 M

After that, we Calculate moles HBr

Moles HBr = concentration HBr * volume HBr

Moles HBr = 0.05 M * 0.0365 L

Moles HBr = 0.001825 moles

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