percentage of error for experimental mole ratio, (1:3:1) along with theoretical ration (1:1:1:1:1)
answered below
To calculate the percentage of error for an experimental mole ratio, we need to compare it to the theoretical mole ratio. The experimentally determined mole ratio is given as (1:3:1), while the theoretical mole ratio is (1:1:1:1:1).
To calculate the percentage of error, we can use the following formula:
Percentage of error = | (Theoretical value - Experimental value) / Theoretical value | × 100
Let's calculate the percentage of error step by step:
1. Theoretical value:
The theoretical mole ratio, (1:1:1:1:1), has a total of 5 moles. So, each component has a percentage of 1/5 or 20%.
2. Experimental value:
The experimental mole ratio, (1:3:1), does not have a total of 5 moles. Therefore, we need to convert it to a comparable ratio. We can do this by dividing each component by the sum of the mole ratio's coefficients:
1 / (1 + 3 + 1) = 1/5 = 20% for the first component
3 / (1 + 3 + 1) = 3/5 = 60% for the second component
1 / (1 + 3 + 1) = 1/5 = 20% for the third component
3. Calculating the percentage of error:
Using the formula mentioned earlier, we can calculate the percentage of error for each component:
First component: | (20% - 20%) / 20% | × 100 = 0%
Second component: | (20% - 60%) / 20% | × 100 = 200%
Third component: | (20% - 20%) / 20% | × 100 = 0%
Therefore, the percentage of error for the experimental mole ratio (1:3:1) compared to the theoretical ratio (1:1:1:1:1) is 0% for the first and third components and 200% for the second component.