In a solution, there is 1 g of NaCl for every 5 g of water.
What is the ratio of sodium to water?
A)1NaCl : 6H2O, because the mass of the solution equals 1 g of NaCl
B)1NaCl : 5H2O, because in the solution, for every 1 g of NaCl there are 5 g of H2O
C)6NaCl : 1H2O, because the total mass of the solution will be 1 g of H2O
D)5NaCl : 1H2O, because in the solution, for every 5 g of H2O there is 1 g of NaCl
I want to say it is D but I am not sure
You are correct. The correct answer is D) 5NaCl : 1H2O. In the given solution, for every 5 g of water (H2O), there is 1 g of sodium chloride (NaCl). Therefore, the ratio of sodium chloride to water is 5NaCl : 1H2O.
To determine the correct ratio of sodium to water in the solution, we need to use the given information that there is 1 g of NaCl for every 5 g of water.
The ratio of sodium to water is typically expressed as the number of moles of each substance. To calculate the moles, we need the molar masses of NaCl and H2O.
The molar mass of NaCl is the sum of the atomic masses of sodium (Na) and chlorine (Cl), which is approximately 58.44 g/mol.
The molar mass of H2O is the sum of the atomic masses of hydrogen (H) and oxygen (O), which is approximately 18.02 g/mol.
Next, we need to calculate the number of moles of NaCl and water in the solution.
For NaCl:
Number of moles of NaCl = mass of NaCl / molar mass of NaCl
Number of moles of NaCl = 1 g / 58.44 g/mol
For water:
Number of moles of water = mass of water / molar mass of water
Number of moles of water = 5 g / 18.02 g/mol
Now, to establish the ratio of sodium to water, we need to simplify the number of moles. Let's divide the number of moles of NaCl and water by the smaller value obtained.
Number of moles of NaCl = (1 g / 58.44 g/mol) / (1 g / 58.44 g/mol) = 1
Number of moles of water = (5 g / 18.02 g/mol) / (1 g / 58.44 g/mol) ≈ 16.21
Thus, the simplified ratio of sodium to water is 1:16.21.
Now, comparing this ratio with the given options, we can see that none of the options match exactly. Option D suggests a ratio of 5NaCl:1H2O, which is not the correct ratio based on our calculations. Therefore, none of the given options are correct.
The correct ratio of sodium to water based on the information provided is 1:16.21, which is not listed among the given options.