1M_Error_Worksheet - Chemistry1MErrorAnalysis Problems...

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Chemistry 1M Error Analysis  Problems Name_______________________________ Section______________TA_____________ Show all work.  Report values with proper number of significant figures. A vacuum was used to remove all the molecules from a 532.2 ± 0.5 mL flask.  Ethanol vapor was then allowed to  fill the flask.  The flask was heated to 372.4 ± 0.5 K in a water bath and the pressure of the vapor was recorded.  The process was repeated eight times, generating the following data: 1a. Calculate the average pressure  P  and the standard deviation  σ P .  Report your final answer as  P   ± σ P b. Graph the values for pressure.  Put pressure on the y-axis and  trial number on the x-axis.   Make the scale appropriate for your data. Draw a horizontal line across the graph  at the value for average pressure.   Trial 1 2 3 4 5 6 7 8 Pressure (atm) 2.54 2.37 2.48 2.55 2.36 2.42 2.34 2.57
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Are your all of your data points within ± σ P If not, which trials have pressure  measurements outside of ± σ P ? 1c. Using the average pressure, calculate the number of moles of gas, n, in the container using the ideal gas law:   PV = nRT. R = 0.08206 L . atm/K . mol T(K)  =  T(°C) + 273.15 1d. Calculate the error,  σ n , in the number of moles of gas (what experimental values contribute error to n?). 1e. Report n± σ n  with the correct number of significant figures. 1f. What is the relative error in n?  Which factor (P, V, or T) contributes the most error?
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A gas was held in a movable piston and heated to multiple temperatures by submerging the piston in a water  bath.  The piston was allowed to move freely so that the volume changed. The pressure remained constant at  0.987 atm   At the given temperatures, the following  volumes were measured: The ideal gas law can be rearranged in the following way to allow this data to form a line: a. Plot V vs. T (in K). b. Determine slope of line c. Find number of moles  of gas in the piston  using the slope of the  best fit line, the ideal  gas law, and the pressure. T (°C)
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This note was uploaded on 04/19/2010 for the course CHEM 1M taught by Professor Roland during the Spring '08 term at University of California, Santa Cruz.

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1M_Error_Worksheet - Chemistry1MErrorAnalysis Problems...

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