The cost of table salt ( NaCl ) is Rs. 10 per Kg. calculate its cost per mole.
( Molar mass of NaCl is `58.5" gmol"^(-1)` )

Answer

To calculate the cost per mole of table salt (NaCl), we will follow these steps:

### Step 1: Understand the given information
We know that:
- The cost of NaCl is Rs. 10 per kg.
- The molar mass of NaCl is 58.5 g/mol.

### Step 2: Convert kg to grams
Since the cost is given per kg, we need to convert this to grams for easier calculations:
- 1 kg = 1000 grams.

### Step 3: Calculate the cost per gram
Now, we can find the cost of NaCl per gram:
\[ \text{Cost per gram} = \frac{\text{Cost per kg}}{\text{grams in a kg}} = \frac{10 \text{ Rs}}{1000 \text{ g}} = 0.01 \text{ Rs/g} \]

### Step 4: Calculate the cost of 58.5 grams (1 mole)
Now, we will calculate the cost of 58.5 grams of NaCl (which is 1 mole):
\[ \text{Cost of 58.5 g} = \text{Cost per gram} \times \text{mass in grams} = 0.01 \text{ Rs/g} \times 58.5 \text{ g} = 0.585 \text{ Rs} \]

### Step 5: Final answer
Thus, the cost per mole of NaCl is:
\[ \text{Cost per mole of NaCl} = 0.585 \text{ Rs} \]

### Summary
The cost of 1 mole of NaCl is Rs. 0.585.

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