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hslove142331 · Jan 18, 2010, 02:09 PM

Volume, mL - 32.7 35.3 37.8 39.0 40.0
Temperature, C - 21 44 67 81 97

Plot V vs Temperature. - I think this line going to be straight line(right?).

I need to find equation of that line.

how can I find equation of that line? Thanks

ebaines · Jan 18, 2010, 03:01 PM

The line using these data is not perfectly linear. You can fit a straight line approximation using regression techniques - are you familiar with how to do this? If not... I suggest you plot the poimnts like you were asked, and fit a straight line as best you can "by eye," then determine the equation of that straight line. The way to do that is to use:

$<br /> \frac { V - V_1} { T - T_1} = \frac {\Delta V} { \Delta T}<br />$

where ( $T_1,V_1$ ) is any point on the line and $\Delta V / \Delta T$ is the slope of the line. You can then rearange to get V as a function of T.