How many milliliters water are needed to make a 0.171 M solution that contains 1.00 g of NaCl?
To determine the volume of water needed to make a 0.171 M solution of NaCl, we need to follow a few steps.
1. Convert the mass of NaCl to moles:
The molar mass of NaCl is 58.44 g/mol.
Therefore, the number of moles of NaCl is given by:
1.00 g / 58.44 g/mol = 0.0171 mol
2. Use the definition of molarity to find the volume of water:
Molarity (M) is defined as moles of solute per liter of solution.
Rearrange the formula to solve for the volume (V) of water:
Molarity (M) = moles of solute (mol) / volume of solution (L)
We are given the molarity (0.171 M) and moles of solute (0.0171 mol), so we can rearrange the formula to solve for the volume:
Volume (V) = moles of solute (mol) / Molarity (M)
Volume (V) = 0.0171 mol / 0.171 M
Volume (V) = 0.1 L
3. Convert the volume from liters to milliliters:
Since 1 liter is equal to 1000 milliliters, we can multiply the volume in liters by 1000 to get the volume in milliliters:
Volume (V) = 0.1 L * 1000 mL/L = 100 mL
Therefore, you would need 100 milliliters of water to make a 0.171 M solution that contains 1.00 g of NaCl.
To determine the volume of water needed to make a 0.171 M NaCl solution with a mass of 1.00 g, you need to follow these steps:
Step 1: Calculate the molecular weight of NaCl.
The molecular weight of NaCl is the sum of the atomic weights of sodium (Na) and chlorine (Cl).
Na (sodium) atomic weight = 22.99 g/mol
Cl (chlorine) atomic weight = 35.45 g/mol
Molecular weight of NaCl = 22.99 g/mol + 35.45 g/mol = 58.44 g/mol
Step 2: Calculate the number of moles of NaCl.
Number of moles = mass / molecular weight.
Number of moles = 1.00 g / 58.44 g/mol = 0.0171 mol.
Step 3: Use the definition of molarity to find the volume of water.
Molarity (M) = moles / volume (L).
Rearrange the formula to solve for volume: volume (L) = moles / Molarity.
Volume (L) = 0.0171 mol / 0.171 mol/L = 0.1 L.
Step 4: Convert the volume from liters to milliliters.
1 L = 1000 mL, so multiply the volume in liters by 1000 to get the volume in milliliters.
Volume (mL) = 0.1 L × 1000 = 100 mL.
To make a 0.171 M NaCl solution with 1.00 g of NaCl, you need 100 milliliters of water.