Calculation Help: Solve for T and Find My Mistake

  • Thread starter Thread starter asdf1
  • Start date Start date
  • Tags Tags
    Calculation
Click For Summary
SUMMARY

The discussion revolves around solving the equation 22.64*(T-273)+0.5*6.28*0.001*[(T^2)-(273^2)]=22.64*(373-T)+0.5*6.28*0.001*[(373^2)-(T^2)] for the variable T. The original calculation using the quadratic formula yielded T=313, which was incorrect; the correct value is T=323.2. The user identified a typo in the equation, changing "05" to "0.5," which corrected the calculation to T=323.3 using Maple software.

PREREQUISITES
  • Understanding of algebraic equations and quadratic formulas
  • Familiarity with Maple software for mathematical computations
  • Basic knowledge of thermodynamic principles related to temperature calculations
  • Ability to identify and correct typographical errors in mathematical expressions
NEXT STEPS
  • Review the use of the quadratic formula in solving equations
  • Explore advanced features of Maple for solving complex equations
  • Study thermodynamic equations related to temperature and pressure
  • Learn about common typographical errors in mathematical expressions and their impact on calculations
USEFUL FOR

Students, engineers, and scientists who require assistance with solving algebraic equations, particularly in thermodynamics, and those using Maple for computational verification.

asdf1
Messages
734
Reaction score
0
for the following question:
22.64*(T-273)+05*6.28*.001*[(T^2)-(273^2)]=22.64*(373-T)+.5*6.28*.001*[(373^2)-(T^2)]
T=?

my problem:
i used the x=[-b+(b^2-4ac)]/2 formula and got T=313
however, T should be 323.2!
agh... my calculation drives me nuts...
 
Physics news on Phys.org
Oh my, that looks horrible.
Anyway, I've chugged it into Maple. It gave 310.7.
Then I changed the 05 in your expression to 0.5 since that was probably a typo and out popped 323.3
 
thanks! i'll try the calculations again...
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
7
Views
2K
Replies
5
Views
2K
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
5K