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Chemistry Forums for Students => Undergraduate General Chemistry Forum => Topic started by: Aidan on September 18, 2019, 09:48:58 AM

Title: Linearizing Equation to Obtain Unknown Variables
Post by: Aidan on September 18, 2019, 09:48:58 AM

Given the question of determining A and B (constants) within the equation ln(x) = (A/T) + B, where X is mole ratio, and T is temperature, how would you go about linearizing the equation and graphing it to determine the two unknowns?
Values of T (K): 284.0, 286.2, 289.3, 299.1, 316.0, 318.2
Values of X: 0.0390, 0.0426, 0.0523, 0.0702, 0.1091, 0.1144

Values of X and T are listed in the order that they correspond with each other.

Title: Re: Linearizing Equation to Obtain Unknown Variables
Post by: Corribus on September 18, 2019, 10:51:31 AM

Plot ln(x) by 1/T.  E.g., see Arrhenius plot.

https://en.wikipedia.org/wiki/Arrhenius_plot

Title: Re: Linearizing Equation to Obtain Unknown Variables
Post by: sjb on September 19, 2019, 05:35:37 AM

Or, in general, what equations do you know that define straight lines?

Title: Re: Linearizing Equation to Obtain Unknown Variables
Post by: Vidya on September 22, 2019, 09:55:50 PM

Quote

ln(x) = (A/T) + B,

Do you know what is A and B here if it represents a linear line equation.
y= mx +c
This is general linear line equation
here m is slope of line which is A in your equation.
c is the y intercept which is B in your equation.
Draw graphs and calculate slope and y intercept to know the values of constant .