How many moles of water are contained in 160ml of water at 4'c?
mass H2O = volume x density.
Then mass/18.015 = moles.
To determine the number of moles of water contained in 160 mL at 4°C, we need to use the relationship between volume, temperature, and moles of a substance.
To calculate the number of moles of water, we will use the formula:
n = V / Vm
Where:
n is the number of moles
V is the volume of the substance in liters
Vm is the molar volume of the substance at the given temperature and pressure
The molar volume of a substance depends on temperature and pressure. At standard temperature and pressure (STP), which is 0°C (273K) and 1 atmosphere (atm) respectively, the molar volume of any ideal gas is 22.4 liters/mol. However, water is a liquid, so we need to consider its density and convert it to moles.
To find the molar volume of water at a specific temperature, we will use the formula:
Vm = Vd / Md
Where:
Vm is the molar volume of water
Vd is the molar density of water at the given temperature
Md is the molar mass of water
The molar density of water at 4°C is approximately 55.4 mol/L, and the molar mass of water is approximately 18.015 g/mol.
Now, let's calculate the number of moles of water in 160 mL at 4°C:
Step 1: Convert the volume from milliliters (mL) to liters (L).
160 mL = 160 / 1000 L = 0.16 L
Step 2: Calculate the molar volume of water at 4°C using the formula:
Vm = Vd / Md
Vm = 55.4 mol/L / 18.015 g/mol ≈ 3.076 mol/L
Step 3: Calculate the number of moles using the formula:
n = V / Vm
n = 0.16 L / 3.076 mol/L ≈ 0.052 moles
Therefore, there are approximately 0.052 moles of water in 160 mL at 4°C.