hydrochloric acid 0.2 mixture? a $$ 0.18 \mathrm{M}, \mathrm{P}^{\mathrm{H}}=0.2 $$ b $$ 0.625 \mathrm{M}, \mathrm{P}^{\mathrm{H}}=1.3 $$ C $$ 0.105 \mathrm{M}, \mathrm{P}^{\mathrm{H}}=0.7 $$ d $$ 0.450 \mathrm{M}, \mathrm{P}^{\mathrm{H}}=0.3 $$

Question

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It appears you're asking which of the given mixtures corresponds to a hydrochloric acid (HCl) solution with a concentration of **0.2 M**. Let's analyze each option based on the relationship between concentration and pH for a strong acid like HCl.

### Understanding the Relationship
Hydrochloric acid (**HCl**) is a **strong acid**, meaning it dissociates completely in water:

$$ \text{HCl} \rightarrow \text{H}^+ + \text{Cl}^- $$

The **pH** of the solution is calculated using the formula:

$$ \text{pH} = -\log[\text{H}^+] $$

For a **0.2 M** HCl solution:

$$ [\text{H}^+] = 0.2 \, \text{M} $$
$$ \text{pH} = -\log(0.2) \approx 0.7 $$

### Analyzing the Options

| **Option** | **Concentration (M)** | **pH** | **Analysis** |
|------------|-----------------------|--------|--------------|
| **a)**     | 0.18                  | 0.2    | For pH 0.2, $$[H^+] \approx 0.63 \, \text{M}$$. This doesn't match 0.18 M. |
| **b)**     | 0.625                 | 1.3    | For pH 1.3, $$[H^+] \approx 0.05 \, \text{M}$$. This doesn't match 0.625 M. |
| **c)**     | 0.105                 | 0.7    | For pH 0.7, $$[H^+] \approx 0.2 \, \text{M}$$. This is closest to the desired concentration when considering significant figures and possible dilution. |
| **d)**     | 0.450                 | 0.3    | For pH 0.3, $$[H^+] \approx 0.50 \, \text{M}$$. This doesn't match 0.450 M exactly but is in the ballpark. |

### **Best Match: Option c**

**Option c** lists a concentration of **0.105 M** with a **pH of 0.7**. While the $$[H^+]$$ concentration for pH 0.7 should ideally be **0.2 M**, this option is the closest match among the provided choices when considering possible measurement tolerances or dilution factors.

### **Conclusion**

**Option c** is the most appropriate choice, as it best aligns with the expected pH for a 0.2 M HCl solution.

**Answer:**  
Option **c** ($$ 0.105 \mathrm{M} $$, pH = 0.7) is the mixture corresponding to 0.2 M hydrochloric acid.
The mixture with 0.105 M concentration and pH = 0.7 corresponds to 0.2 M hydrochloric acid.

hydrochloric acid 0.2
mixture?
a
b
C
d

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Understanding the Relationship

Analyzing the Options

Best Match: Option c

Conclusion

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Option	Concentration (M)	pH	Analysis
a)	0.18	0.2	For pH 0.2, . This doesn’t match 0.18 M.
b)	0.625	1.3	For pH 1.3, . This doesn’t match 0.625 M.
c)	0.105	0.7	For pH 0.7, . This is closest to the desired concentration when considering significant figures and possible dilution.
d)	0.450	0.3	For pH 0.3, . This doesn’t match 0.450 M exactly but is in the ballpark.

hydrochloric acid 0.2 mixture? a b C d