1.000 g of bronze was dissolved in the mixture of acids. The solution was transferred
into 100 ml volumetric flask and filled to the mark. 10 ml aliquote of this solution was
transferred into another 100 ml flask and diluted to the mark. 10 ml of the resulting
solution was analysed to contain 1.1 mg of tin. Calculate the percentage of tin and
copper in the metal sample. (Content of other metals may be regarded neglible.)
You diluted it 10*10 times
so in the origiaal, there were 110mg of tin.
Percent Tin-.110/1 * 100=11percent
Precent Cu=89 percent
To calculate the percentage of tin and copper in the metal sample, we need to determine the concentration of tin and copper in the 10 ml aliquot of the resulting solution.
Let's break down the steps to get the solution.
Step 1: Calculation of the concentration of tin in the 10 ml aliquot
- We know that 10 ml of the resulting solution contains 1.1 mg of tin.
- Therefore, the concentration of tin in the 10 ml aliquot is: (1.1 mg / 10 ml) = 0.11 mg/ml.
Step 2: Dilution factor of the aliquot
- We transferred 10 ml of the resulting solution into another 100 ml flask and diluted it to the mark.
- The dilution factor is the ratio of the final volume to the initial volume. In this case, it is (100 ml / 10 ml) = 10.
Step 3: Calculation of the concentration of tin in the resulting solution
- By considering the dilution factor, we can calculate the concentration of tin in the resulting solution:
(0.11 mg/ml) * 10 = 1.1 mg/ml.
Step 4: Calculation of the mass of tin in the original solution
- Since we transferred the resulting solution from a 10 ml aliquot, the mass of tin in the original solution can be calculated by multiplying the concentration of tin in the resulting solution by the volume of the original solution (100 ml):
(1.1 mg/ml) * 100 ml = 110 mg.
Step 5: Calculation of the mass of copper in the original solution
- As per the given information, the content of other metals is regarded as negligible. Therefore, the mass of copper in the original solution can be calculated by subtracting the mass of tin from the mass of the original solution:
Mass of copper = Mass of original solution - Mass of tin
Mass of copper = 1000 mg - 110 mg = 890 mg.
Finally, we can calculate the percentage of tin and copper in the metal sample:
- Percentage of tin = (Mass of tin / Weight of the sample) * 100
- Percentage of copper = (Mass of copper / Weight of the sample) * 100
Note: The weight of the sample refers to the weight of the original 1.000 g bronze sample.
By plugging in the values, you can calculate the percentage of tin and copper in the metal sample.