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Which two solutions have similar solubilities at [tex]40^{\circ} C[/tex]?

A. [tex]Na _2 SO _4[/tex] and NaCl
B. [tex]Na _2 HASO _4[/tex] and NaCl
C. [tex]Na _2 HASO _4[/tex] and [tex]Na _2 SO _4[/tex]
D. [tex]Ba(NO_3)_2[/tex] and [tex]Ce _2(SO_4)_3 \cdot 9 H _2 O[/tex]

Sagot :

GinnyAnswer
To determine which two solutions have similar solubilities at [tex]\(40^{\circ}C\)[/tex], we can look at the known solubility data for each of these substances at that temperature. Let’s investigate each of the given pairs in detail:

1. [tex]\(Na_2SO_4\)[/tex] and NaCl:
- [tex]\(Na_2SO_4\)[/tex] (Sodium sulfate) has a solubility of approximately 21.45 g/100g H[tex]\(_2\)[/tex]O at 40°C.
- NaCl (Sodium chloride) has a solubility of about 36 g/100g H[tex]\(_2\)[/tex]O at 40°C.
- While both are soluble, their solubility values differ noticeably.

2. [tex]\(Na_2HASO_4\)[/tex] and NaCl:
- [tex]\(Na_2HASO_4\)[/tex] (Sodium arsenate) generally exhibits very different solubility characteristics compared to NaCl.
- The solubility value of NaCl remains at approximately 36 g/100g H[tex]\(_2\)[/tex]O, which is distinctive from the expected solubility of [tex]\(Na_2HASO_4\)[/tex].

3. [tex]\(Na_2HASO_4\)[/tex] and [tex]\(Na_2SO_4\)[/tex]:
- Sodium arsenate and sodium sulfate have different chemical structures, leading them to exhibit different solubility behaviors as well.

4. [tex]\(Ba(NO_3)_2\)[/tex] and [tex]\(Ce_2(SO_4)_3 \cdot 9H_2O\)[/tex]:
- [tex]\(Ba(NO_3)_2\)[/tex] (Barium nitrate) and [tex]\(Ce_2(SO_4)_3 \cdot 9H_2O\)[/tex] (Cerium(III) sulfate nonahydrate) each have their own unique solubility profiles.
- Comparing [tex]\(Ba(NO_3)_2\)[/tex] and [tex]\(Ce_2(SO_4)_3 \cdot 9H_2O\)[/tex], they are also likely to have different solubilities due to differing ionic properties and lattice structures.

Given the analysis, the pair of solutions that has similar solubility values at 40°C is:

- [tex]\(Na_2SO_4\)[/tex] (Sodium sulfate) and NaCl (Sodium chloride)

Thus, the answer is the first pair:

[tex]\(Na_2SO_4\)[/tex] and NaCl.
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