Answer :
The average mass can be calculated by adding all the given masses and then divided by the total number of masses. The average mass calculated is 100.2 g.
The average atomic mass of an element is the weighted average mass of the atoms in a naturally occurring sample of the element. It is also called as atomic weight. Average masses are generally expressed in unified atomic mass units (u) where 1 u is equal to exactly one-twelfth the mass of a neutral atom of carbon-12. To calculate an average mass, sum the all of the masses together, then divide by the number of individual masses.
Given a block of metal that has a known mass of 110.2 you are given a block of metal that has a known mass of 110.2 grams. By measuring its mass three times and get the following mass readings 100.2 g, 100.1 g 100.3g.
Average mass = sum of all masses / number of mass
= 100.2 g + 100.1 g + 100.3 g / 3
= 300.6 / 3
= 100.2 g
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Final answer:
The average mass of the metal block based on the three measurements (100.2 g, 100.1 g, 100.3 g) is 100.2 grams. This average is reported to one decimal place in accordance with the precision of the individual measurements.
Explanation:
The average mass of the metal block is calculated by taking the sum of the three measurements and dividing by the number of measurements, which is three in this case. To find the average, we add up the three mass readings: 100.2 g, 100.1 g, and 100.3 g. The sum is 300.6 g. We then divide this sum by three to get the average mass.
The calculation is (100.2 g + 100.1 g + 100.3 g) / 3, which equals to 100.2 g as the average mass.
When considering the significant figures in measurements, the result must be consistent with the least precise measurement. In this case, each of the measurements is given to one decimal place, so the average should also be reported to one decimal place.