What volume of \(0.0200 M\) calcium hydroxide is required to neutralize \(35.00 \mathrm{~mL}\) of \(0.0500 \mathrm{M}\) nitric acid?

Short Answer

Expert verified
The volume of \(0.0200 M\) calcium hydroxide required to neutralize \(35.00 mL\) of \(0.0500 M\) nitric acid is \(43.75 mL\).

Step by step solution

01

Write the balanced chemical equation for the reaction

The balanced chemical equation for the reaction between calcium hydroxide (Ca(OH)2) and nitric acid (HNO3) is: \(Ca(OH)_{2_(aq)} + 2 HNO_{3_(aq)} \rightarrow Ca(NO_{3})_{2_(aq)} + 2 H_{2}O_{(l)}\) This tells us that one mole of calcium hydroxide reacts with two moles of nitric acid to produce one mole of calcium nitrate and two moles of water.
02

Calculate the moles of nitric acid

Given information: Volume of nitric acid = 35.00 mL Molarity of nitric acid = 0.0500 M To find the moles of nitric acid, use the formula: moles = molarity × volume (in liters) First, convert the volume of nitric acid from mL to L: \(35.00\mathrm{~mL} = 35.00 \times 10^{-3} L = 0.03500 L\) Now, calculate the moles of nitric acid: moles of nitric acid = 0.0500 M × 0.03500 L = 0.00175 moles
03

Find the moles of calcium hydroxide required for neutralization

From the balanced chemical equation, we see that the mole ratio of calcium hydroxide to nitric acid is 1:2. Moles of calcium hydroxide = (moles of nitric acid) / 2 Moles of calcium hydroxide = 0.00175 moles / 2 = 0.000875 moles
04

Calculate the volume of calcium hydroxide required

Molarity of calcium hydroxide = 0.0200 M Moles of calcium hydroxide = 0.000875 moles To find the volume of calcium hydroxide, use the formula: volume (in L) = moles / molarity Volume of calcium hydroxide (in L) = 0.000875 moles / 0.0200 M = 0.04375 L Finally, convert the volume of calcium hydroxide from L to mL: Volume of calcium hydroxide = 0.04375 L × 10^3 mL/L = 43.75 mL
05

Conclusion

It requires 43.75 mL of 0.0200 M calcium hydroxide to neutralize 35.00 mL of 0.0500 M nitric acid.

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