Re-write these number so that they have 3 significant figures 37.458 0.0049387 1
ID: 979808 • Letter: R
Question
Re-write these number so that they have 3 significant figures 37.458 0.0049387 10.179 4.7357*10-4 perform the following calculations, correct to the appropriate number of significant figures: 3.76+14.83+2.1= 0.00347+0.0042+0.000354= 100.2*98.3*120.5= (4.35*10-3)*0.00234*0.00091= In an experiment where you are measuring the freezing point of pure water with a mercury filled thermometer, provide an example of random and a systematic error and explain how these errors many effect your experimentally determined freezing point value. In your own words, why is error analysis important? Perform the following calculations and propagate the errors. (4.56+_0.93)+(2.816+_0.095)= (104.46+_2.43)+(97.7+_1.3)-(101.2+_3.6)= (3.78+_0.34*10-2)*(4.3+_0.4)= A chemistry student wanted to measure the accuracy of the graduations on a 400 ml beaker. The student placed the beaker on a scale accurate to one decimal place and added water until the water reached the 400 ML line. This was repeated 8 time and recorded the following masses of water.403.2g, 402.7g,399.6g,401.4g,397.3 g, 400.1g, 395.6 g, and 398.3g. Assuming the density of water of is 1.00 g ml-1, and by constructing a table as shown on the following page, calculate: The mean of the measurements The variance of the measurements The standard deviation of the measurements The standard error of the measurements The 95% confidence limits.Explanation / Answer
a )37.458
here total numbers are 5 , to convert it to 3 significant number we will add +1 in 37.458 hence the new digit with three significant numer is 37.5
b)0.0049387
here total numbers are 5 , to convert it to 3 significant number we will add +1 in 0.0049387hence the new digit with three significant numer is 0.00494
The zero shows only the decimal place.
c) 10,179
here total numbers are 5 , to convert it to 3 significant number we use scintific notation.
1.02*10^4
Now here three significant numbers 1,0, and 2.
d)4.7357x10^-4
here total numbers are 5 , to convert it to 3 significant number we will add +1 in 4.7357x10^-4
hence the new digit with three significant numer is 4.74 x10^-4
Now here three significant numbers 4,7, and 4.
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