In: Physics
You will compute absolute zero a) graphically and b) algebraically using the following two measurements: (Ti = 25 C, Vi = 222 mL) and (Tf = 100 C, Vf = 279 mL). You are heating a gas at constant pressure, and it expands. You may leave everything in degrees Celsius and milliliters.
b) Given Vi = 222 mL, Ti = 25 C
Vf = 279 mL, Tf = 100 C
Suppose Ta be the absolute temperature and Va the corresponding volume ,then at constant pressure by Charles law ( note I'm using Charles law now not mentioning the scale because finally I will get an equation in terms of differences of temperatures so scales doesn't matter)
The above equation contains only difference in temperatures. At absolute temperature volume is zero Va =0
Rearranging we get
a) I have plotted the graph for you the temperature value at 0
volume is the absolute zero temperature which is -267.10 degree
Celsius which matches with the algebraic calculation