Graphical Exploration of Boyle\'s Law and Gay-Lussac\'s law Know names of laws:

Question

Graphical Exploration of Boyle's Law and Gay-Lussac's law Know names of laws: Boyle's Law: P1V1=P2V2 Gay-Lussac's Law: P1/T1=P2/T2Understanding the and the mathematical relationships among P. V, and T. Understand absolute zero. Know the appearance of the graphs you created: P as a function of V P as a function of 1/v P as a function of T A student collects pressure readings at various volumes. The products of PV for each experiment calculated and consistently found to be close to 10 ml atm. Explain this finding. A linear regression for data in a graph of P (atm) as a function of 1/V (mL '), results in the line y=9.2318 times 0.0878. What is the pressure at 3.5 mL? What would be the volume at zero pressure? Is this possible? Explain. Sketch a graph for this equation. A power regression for data In a graph of P (atm) as a function of volume (mL), results in an equation where x=-0.9873. What is the significance of this value? Sketch a graph for this equation. How does your sketch relate to your explanation that P*V*10 mL atm? A linear regression for data in a graph of P (atm) as a function of T ('C), results in the line y 2.4114 times 707.58. Calculate absolute zero, in "C, based on this equation.

Explanation / Answer

This is due to the Boyles Law

the product PV will be always a constant , in this case

PV = C = 10 mlatm; this is consistent with the law

2)

P = 9.2318*(1/V) + 0.0878

substiute data

P = 9.2318*(1/3.5) + 0.0878 = 2.72 atm

when P=0

0 = 9.2318*(1/v) + 0.0878

v = (-0.0878/(9.2318))^-1 = -105

this is not possible, sinc V < 0

This equation is probably valid only some range

3)

x is the slope between P vs. V

meaning this is the actual constant PV

4)

P = 2.4114*T + 707.58

Absolute zero is given when P = 0

so

0 = 2.4114*T + 707.58

T = -707.58/2.411 = -293

T is near to 273 which is the real value

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