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Compute the molecular mass and its uncertainty for NH3. What is the percent relative uncertainty in molecular mass?

Short Answer

Expert verified

The percent relative uncertainty is100×relativeuncertainty

Step by step solution

01

Step 1:The introduction of interpretation, uncertainty and absolute uncertainty

Interpretation:

For NH3, the molecular mass and its uncertainty, as well as the percent relative uncertainty in molecular mass, must be computed.

Uncertainty:

Uncertainty refers to the inability to predict a value. The last digit in a measured value will have related uncertainty. Absolute and relative uncertainty are two types of uncertainty.

Absolute uncertainty:

The marginal value associated with a measurement is expressed as absolute uncertainty.

02

The value of percent relative uncertainty

The relative uncertainty is:

Compares the extent of absolute uncertainty to the size of the measurement it is connected with.

Relativeuncertainty=absoluteuncertaintymagnitudeofmeasurement

As a example it can be taken that:

Consider the following burette reading: 12.35±0.02mL.

is the absolute uncertainty.

The formula is used to calculate the relative uncertainty is:

Relativeuncertainty=absoluteuncertaintymagnitudeofmeasurement

So,the percent relative uncertainty is:

Percentrelativeuncertainty=100×relativeuncertainty

The percent relative uncertainty is100×relativeuncertainty

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Most popular questions from this chapter

Find the absolute and percent relative uncertainty and express each answer with a reasonable number of significant figures.

a)6.2±0.2-4.1±0.1=?b)9.43±0.05×0.0160.001=?c)6.2±0.2-4.1±0.1÷9.43±0.05=?d)9.43±0.05×6.2±0.2×10-3+4.1±0.1×10-3

Round each number to three significant figures:

(a) 0.21674

(b) 0.2165

(c) 0.2165003

Explain the difference between systematic and random error.

Rewrite the number 3.123 56 (±0.167 89%) in the forms (a) number (± absolute uncertainty) and (b) number (± percent relative uncertainty) with an appropriate number of digits.

Controlling the appearance of a graph. Figure 3-3 requires gridlines to read buret corrections. In this exercise, you will format a graph so that it looks like Figure 3-3 . Follow the procedure in Section 2-11 to graph the data in the following table. For Excel 2007 or 2010, insert a Chart of the type Scatter with data points connected by straight lines. Delete the legend and title. With Chart Tools, Layout, Axis Titles, add labels for both axes. Click any number on the abscissa ( x axis) and go to Chart Tools, Format. In Format Selection, Axis Options, choose Minimum =0 , Maximum =50 , Major unit =10 , and Minor unit =1 . For Major tick mark type, select Outside. In Format Selection, Number, choose Number and set Decimal places =0. In a similar manner, set the ordinate ( y -axis) to run from -0.04 to +0.05 with a Major unit of 0.02 and a Minor unit of 0.01 and with Major tick marks Outside. To display gridlines, go to Chart Tools, Layout, and Gridlines. For Primary Horizontal Gridlines, select Major & Minor Gridlines. For Primary Vertical Gridlines, select Major & Minor Gridlines. To move axis labels from the middle of the chart to the bottom, click a number on the y axis (not the x axis) and select Chart Tools, Layout, Format Selection. In Axis Options, choose Horizontal axis crosses Axis value and type in -0.04 . Close the Format Axis window and your graph should look like Figure 3-3 .

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