Questions $($Show set$-$up and units for all calculations$)$

On graph paper $($next page$),$ make a graph of mass of beaker plus water $(y-$axis$)$ versus volume delivered $(x-$axis$)$ following the rules for good graphing given in Appendix $A.$ DO NOT INCLUDE THE EMPTY BEAKER MASS as a DATA POINT, USE ONLY THE $5$ DATA POINTS FROM THE TABLE. PIan the range of your axes so that you can extrapolate back to find the $y-$intercept. Label your axes $($with units$)$ and title your graph. Draw the best straight line through your points and extrapolate to the $y$ intercept.

a$.$ From the graph read and record the value of $y$ at the $y-$intercept of your line. Report to the correct number of significant figures based on the scale divisions of your $y-$axis. Also give your estimated tuncertainty. $($Do not forget the units$).$

Value of $y$ at the $y-$intercept $30\mathrm{.}25+-\frac{0\mathrm{.}074579}{m}L$

b$.$ Using two $(x,y)$ data points taken from the line $($select points as far away from each other as possible$)$ that are not any of your experimental data points, determine the slope of the line. $($Remember$,$ the slope of the line will have units of $Y$ units$/$X units$).$ Clearly mark and label the two points chosen on your graph $($these need to be distinguished from the data points$).$ Record the $(x,y)$ coordinates of the chosen points to the correct significant figures, based on the scale divisions of your graph. Also, write the corresponding units.

Point $1$

Point $2$

Show your calculation with units included in the set$-$up for the slope below. Report your final result to the correct number of significant figures.

Slope of line $($with units$)=1\mathrm{.}003+-0\mathrm{.}004571\%mL$

The slope of the line and the $y-$intercept both have a physical meaning in this simple exercise.

a$.$ What physical property of water does the slope of the line represent? $($Hint: Look at the units.$)$

b$.$ Compare your slope value to the accepted value for the physical property represented by the slope. $($This value can be found elsewhere in this document.$)$

Accepted Value:

c$.$ Calculate your percent error. $($Show work$)$

What is the physical meaning of the $y-$intercept?

a$.$ Does your extrapolated $y-$intercept from the graph agree with your measured value within the limits of your estimated uncertainty of the $y-$intercept?