A 0.887g sample of a mixture of nacl and kcl is dissolved in water and the solution is treated with an excess of agn03 producing 1.822g of agcl. What is the percent by mas of each compound in the mixture
My calculation 1.822g/143g/mol = 0.013M
x/58 + y/74 (0.887g-x) = 0.013M
I want you to explain clearly step by step for me. Please Damon for me.
Let X = g NaCl
and Y = g KCl
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You need two equations.
g NaCl + g KCl = 0.887 is #1.
g AgCl from NaCl + g AgCl from KCl = 1.822 is #2.
For #1 you have X + Y = 0.887
For #2 you have
X(MMAgCl/MMNaCl) + Y(MMAgCl/MMKCl) = 1.822 where MM stands for molar mass.
Solve the two equations for X and Y, then
%NaCl = (mass NaCl/0.887)*100 and
%KCl = (mass KCl/0.887)*100
Sure, let's break down the problem step by step:
Step 1: Calculate the molar mass of AgCl:
The molar mass of AgCl is 143 g/mol (107.87 g/mol for silver + 35.45 g/mol for chlorine). This value will be needed to convert the mass of AgCl to moles in the subsequent steps.
Step 2: Convert the mass of AgCl to moles:
The mass of AgCl produced is given as 1.822 g. To convert this mass to moles, divide the mass by the molar mass:
1.822 g / 143 g/mol = 0.0127 mol
Step 3: Set up the equation for the mixture:
The mixture contains a combination of NaCl and KCl. Let's say x represents the mass of NaCl (in grams) and y represents the mass of KCl (in grams) in the mixture. The remaining mass (0.887 g - x) will be the mass of NaCl and KCl combined.
Step 4: Convert the mass of NaCl and KCl to moles:
Divide the mass of NaCl by its molar mass (58 g/mol) and divide the mass of KCl by its molar mass (74 g/mol):
x / 58 + y / 74
Step 5: Set up the equation based on the reaction:
According to the given information, AgNO3 reacts with NaCl and KCl to produce AgCl. Since AgCl is produced in excess, it can be assumed that all the chloride ions (Cl-) combine with Ag+ ions to form AgCl. Therefore, the moles of AgCl produced in Step 2 must be equal to the moles of chloride ions present in the mixture.
Step 6: Solve the equation:
Set the equation from Step 4 equal to the moles of AgCl produced (0.0127 mol):
x / 58 + y / 74 = 0.0127 mol
Step 7: Solve for x and y:
Using the equation from Step 6, solve for x and y. Simplify the equation and rearrange it to solve for x:
x / 58 = 0.0127 - y / 74
x = (0.0127 - y / 74) * 58
Step 8: Substitute x back into the equation from Step 6:
Substitute the expression for x from Step 7 into the equation from Step 6:
(0.0127 - y / 74) * 58 / 58 + y / 74 = 0.0127 mol
Simplifying this equation will yield the values for x and y, which represent the masses of NaCl and KCl in grams, respectively.
I hope this helps you understand the step-by-step process for solving this problem.
To find the percent by mass of each compound in the mixture, we need to determine the amount of NaCl and KCl present in the sample.
Let's break down the steps:
Step 1: Calculate the number of moles of AgCl produced.
Using the molar mass of AgCl (143 g/mol), we can determine the number of moles of AgCl produced.
Mass of AgCl = 1.822 g
Number of moles of AgCl = Mass of AgCl / Molar mass of AgCl = 1.822 g / 143 g/mol = 0.013 mol
Step 2: Write the chemical equation for the reaction.
The reaction between AgNO3 and the mixture of NaCl and KCl can be represented as follows:
2AgNO3 + NaCl -> AgCl + NaNO3
Step 3: Determine the moles of NaCl reacting with AgNO3.
From the balanced chemical equation mentioned above, we can see that 1 mole of NaCl reacts with 1 mole of AgCl.
Therefore, the number of moles of NaCl is also 0.013 mol.
Step 4: Set up an equation to determine the moles of KCl in the mixture.
Assuming x represents the moles of NaCl and y represents the moles of KCl, we can set up the following equation:
x/58 + y/74 = 0.013 mol
(Here, the molar mass of NaCl is 58 g/mol, and the molar mass of KCl is 74 g/mol.)
Simplifying this equation will give us:
0.0172x + 0.0134y = 0.013
Step 5: Determine the moles of KCl.
To solve the equation, we can substitute the given total mass of the mixture:
Total mass of mixture = mass of NaCl + mass of KCl = 0.887 g
We know that the mass of NaCl is x grams, so the mass of KCl will be (0.887 g - x grams).
Substituting the values, we'll have:
x/58 + (0.887-x)/74 = 0.013
Step 6: Solve the equation for x (NaCl) and y (KCl).
Solve the equation obtained in step 5 simultaneously to find the values of x (NaCl) and y (KCl).
Once you determine the values of x and y, you can calculate the percent by mass of each compound using the following formulas:
Percent by mass of NaCl = (mass of NaCl / total mass of mixture) * 100%
Percent by mass of KCl = (mass of KCl / total mass of mixture) * 100%