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Suppose you use mass to calculate the number of beans. Which of these experimental values has a smaller percent error?(A) A calculated value of 1342 when the actual value is 1327.(B) A calculated value of 1327 when the actual value is 1342.(C) h ey have the same percent error.(D) h ere is not enough information to answer the question.

option(B)

Chemistry 101

Chapter 14

Measuring Toxins

Section 2

Counting by Weighing

Atoms, Molecules and Ions

Composition

Drexel University

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so imagine that you used mass to calculate a number of beans and which of thes experimental values has the smaller percent error A or B or C. They have the same percent error or D. There is not enough information in order to answer the question. So in a we have, uh, calculated number of beings of 13 42 the actual number of beings was 13 27 in B. The calculated number of beans was 13 27. The actual number of beings is 13 42. So choice see is example a and example be have the same percent error and choice D is. We do not have enough information to answer the question. Now I've written down ah formula for calculating the percent error which will need to do in order to answer the question. So to find percent error, we want to subtract the calculated amount minus the actual amount. And we're going to defied that by the actual amount. And then we're gonna multiply that answer by 100. So over on the left, here we see the numbers plugged into the formula. For example, a. We had a calculated value of 13 42 an actual value of 13. 27. So our numerator is 13. 40 to minus 13. 27. Our denominator is the actual value 13 27. And then when we have that answer will multiply the whole thing by 100. So 13 42 minus 13 27 is 15. So if we look below, we now have 15 divided by 13 27 and then we will multiply that answer, Bye. 100. And when we do this, we get an answer of one point one three percent. So that's our percent error for a now, for example, B, we have the exact same numbers that we're working with, but in the opposite scenario. So the calculated amount was 13. 27 and the actual amount was 13 42. So if we look down here, I have the numbers plugged into the formula to calculate percent error. We have our calculated value 13 27 minus are actual value off 13 42. Our denominator is the actual value 13. 42 and then we're going to multiply the answer to that whole thing by 100. So if we look down here, you see that I have 15 over 13. 42. Now, if you subtract 13 27 minus 13. 42 your actual answer is negative. 15 but to calculate percent error, we ignore the negative value. We're really looking in this numerator for whatever the differences between the two numbers. So the difference is still 15 But this time our denominator is 13 42 because our actual value is 13 42. I will then multiply that by 100. And if we follow through with that math, we come up with an answer of one point one to percent. So option C says basically a equals B. They're the same. They're not. So we know Option C is not our answer. Option D says. We do not have all of the information that we need. Well, we were able to calculate the percent error for both of those without any problems, So that clearly is not correct. So between A and B, which one has the lower percent error, 1.12% is less than 1.13%. So be is the answer to this

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