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25 votes
25 votes
HELP!

How many grams of Ca(OH)2 are needed to neutralize 45.3 mL of 0.850 M H2SO4?

Report your answer with THREE significant figures.

User Buddhika Chaturanga
by
2.9k points

2 Answers

11 votes
11 votes

Answer:

2,849,370

Step-by-step explanation:

1. We'll use the law: [(Molar×Volume)÷ number of moles] of the base, and [(Molar×Volume)÷number of moles] of acids.

2. The answer should be a "mass" (how many grams) of the base, so we'll use for the base this law: (mass÷molar mass×number of moles).

3. The molecular mass (or molar) of Ca(OH)

2 =1(Atomic mass of Ca)+2(Atomic mass of O) +2(Atomic mass of H)

=40+2(16)+2(1)

=40+32+2

=74

4. No. of moles would be 1 in the acid and base due to: 1 Ca(oH)² + 1 H²SO⁴ --> 1 CaSO⁴ +2H²O.

5. Volume should be used in Leter so: 45.3×10³.

6. Put all the given in the question and solve: (mass (x) unknown) ÷ (74×1) = (0.850×45.3×10³) ÷ (1)

7. Then: (x)÷74 = 38,505 --> 2,849,370.

User Salsa
by
3.3k points
20 votes
20 votes

Answer:

2.85 g

Step-by-step explanation:

To solve this problem, we need to first write out a balanced equation for the reaction:


\boxed{\mathrm{Ca(OH)_2 + H_2SO_4 \rightarrow CaSO_4 + 2H_2O}}

Next, we have to calculate the number of moles of
\mathrm{H_2SO_4} that will be neutralized:

no. of moles of
\mathrm{H_2SO_4} = concentration × volume/1000

= 0.850 ×
(45.3)/(1000)

= 0.0385 mol

As we can see from the balanced equation above, the molar ratio of
\mathrm{Ca(OH)_2} and
\mathrm{H_2SO_4} are equal; therefore their mole numbers are also equal.

This means that 0.0385 moles of
\mathrm{Ca(OH)_2} will be required to neutralize the
\mathrm{H_2SO_4}.

Now we can calculate the mass of
\mathrm{Ca(OH)_2} required:

mass = no. of moles × molar mass

= 0.0385 × [40 + 2×(16+1)]

= 0.0385 × 74

= 2.85 g (3 s.f.)

Therefore, 2.85 g of
\mathrm{Ca(OH)_2} will be needed.

User Hasayakey
by
3.1k points