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How many grams of NaCl do I need to add to 2.2L of water to make a 1 M solution?

Option 1: 58.5 grams
Option 2: 116 grams
Option 3: 29.2 grams
Option 4: 2.9 grams

1 Answer

4 votes

Final answer:

To make a 1 M solution of NaCl in 2.2 L of water, you need to use 128.568 grams of NaCl. The calculation is based on the molar mass of NaCl which is 58.44 g/mol.

Step-by-step explanation:

To calculate the amount of NaCl needed to make a 1 M solution, we'll first need to be clear about what a 1 M solution means. A 1 M (molar) solution has 1 mole of solute per liter of solution. Given that the molar mass of NaCl is 58.44 g/mol, this means we would need 58.44 g of NaCl to make a 1 L solution. Since the student's question is about making this solution in 2.2 L of water, we need to multiply the amount of NaCl by 2.2.

Calculating the required NaCl:

1 mole of NaCl = 58.44 g

For a 1 M solution in 1 L of water, we need 58.44 g of NaCl.

To find out how much NaCl we need for 2.2 L, we'd perform the following calculation:

58.44 g/mole × 2.2 L = 128.568 g

Therefore, the answer to the student's question is that approximately 128.568 grams of NaCl (rounded to 129 g for simplification) are required, which means none of the provided options is correct.

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