What is the mole fraction of alanine in 0.314m CH3CH(NH2)COOH(aq)?
0.314 m means 0.314 mol alanine in 1000g of water.
moles = (1000g)/(18.02 g/mol H20) = 55.56 mol
mole fraction (Xa) = moles of a/total moles
mole fraction Alanine = (0.314)/(0.314+55.56)
=2.41x10^-3
Well, we're dealing with some chemistry here, but don't worry, I won't make any bad puns...maybe just a few.
So, to find the mole fraction of alanine in the solution, we need to find the number of moles of alanine and the total number of moles of solute.
The mole fraction of a component (alanine in this case) is the ratio of the moles of that component to the total moles of solute. It's like figuring out how many cookies you have compared to the whole batch.
In this case, we have a 0.314m (molar) solution of CH3CH(NH2)COOH(aq). Since alanine is a component of this compound, we need to find the number of moles of alanine present.
Now, CH3CH(NH2)COOH is just a fancy way of saying alanine. So, don't let the complicated name scare you. It's like when someone calls you by your full name when they're mad at you.
To find the number of moles of alanine, we need to know the molar mass of alanine. Do you know the molar mass? If you tell me that, I can calculate the mole fraction for you.
To find the mole fraction of alanine in the given solution, we need to determine the moles of alanine and the total moles of all solutes in the solution.
First, we need to determine the molar mass of alanine (CH3CH(NH2)COOH):
Molar mass of C: 12.01 g/mol
Molar mass of H: 1.01 g/mol
Molar mass of N: 14.01 g/mol
Molar mass of O: 16.00 g/mol
Molar mass of alanine = (12.01 * 3) + (1.01 * 7) + 14.01 + 16.00 + 12.01 + 1.01 + 16.00 = 89.09 g/mol
Next, we need to determine the moles of alanine in the solution. To do this, we use the formula:
moles = (mass of substance) / (molar mass)
Given that the concentration of the solution is 0.314 m (moles per liter), we can calculate the mass of alanine:
mass of alanine = (0.314 mol/L) * (89.09 g/mol) = 27.93726 g
Finally, we need to determine the total moles of all solutes in the solution. Since the solution contains only alanine, the total moles of solutes is equal to the moles of alanine:
total moles of solutes = moles of alanine = 0.314 mol/L
Now we can calculate the mole fraction of alanine:
mole fraction of alanine = (moles of alanine) / (total moles of solutes)
= (0.314 mol/L) / (0.314 mol/L)
= 1
Therefore, the mole fraction of alanine in the solution is 1.
To find the mole fraction of alanine in a solution, we first need to understand what mole fraction is and how to calculate it.
Mole fraction is a way to express the concentration of a specific component in a mixture. It is defined as the ratio of the number of moles of a specific component to the total number of moles in the mixture.
To calculate the mole fraction (X) of a specific component, we need to know the moles of that component (n) and the total moles of all components in the mixture (Σn).
In this case, we want to find the mole fraction of alanine in the solution.
Given:
- Concentration of the solution (0.314m CH3CH(NH2)COOH(aq))
Here is the step-by-step process to find the mole fraction of alanine:
Step 1: Determine the moles of alanine (n).
Since the solution is given in molarity, we can use the formula:
moles = concentration (molarity) × volume (in liters)
However, since we are only interested in the mole fraction of alanine, we can directly use its concentration in the solution:
n = 0.314
Step 2: Determine the total moles of the solution (Σn).
The total moles of the solution can be calculated by multiplying the molarity by the volume (in liters) of the solution:
Σn = concentration (molarity) × volume (in liters)
Since the volume of the solution is not given in the question, we cannot calculate the total moles of the solution. Therefore, we cannot calculate the mole fraction of alanine using the information given.
To find the mole fraction of alanine, we need to know the concentration of the solution and the total volume of the solution.