Simple Algebra problem - Solving for 2 of the same unknown

  • Thread starter smaan
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  • #1
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Homework Statement



ln(0.0693/0.0475) = (70435/8.314)((T3-298)/(T3*298))

Solve for T3



Homework Equations





The Attempt at a Solution



The fact that there are 2 T3's is really throwing me off, I feel that I am doing something algebraically wrong.

0.377 = 8471.9((T3-298)/(T3*298))

How would I solve for T3?
 

Answers and Replies

  • #2
SammyS
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Homework Statement



ln(0.0693/0.0475) = (70435/8.314)((T3-298)/(T3*298))

Solve for T3

Homework Equations



The Attempt at a Solution



The fact that there are 2 T3's is really throwing me off, I feel that I am doing something algebraically wrong.

0.377 = 8471.9((T3-298)/(T3*298))

How would I solve for T3?
[itex]\displaystyle \frac{T_3-298}{298T_3}=\frac{T_3}{298T_3}-\frac{298}{298T_3}[/itex]
[itex]\displaystyle =\frac{1}{298}-\frac{1}{T_3}[/itex]​
Now there's only one T3 .
 
  • #3
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Sometimes I find "getting rid" of the fraction helpful for seeing the solution. Basically multiply both sides by the denominator (of the RHS) and expand. Then you collect like terms and everything else is easy.
 

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