Chemistry - physical chemistry assignment 1 | Physical chemistry homework help
- You have yet to turn in your HW1 makup. You might want to do so, since this
question is predicated on it. In that problem set, in question 1, you were asked to fit data
to an exponential decay:
Amplitude = A ∙ e−t τ⁄ and to calculate the errors thereof to report: A ± σA and τ ± στ.
For this question, use the results from #1 to calculate the following function:
f = π ∙ A + τ A and calculate the associated error as to report f ± 𝜎𝑓.
Here are the standard error equations:
For f(x) = a·x 𝜎𝑓= |a|·𝜎𝑥 where a has no error. For f(x,y) = x ± y, 𝜎𝑓 = √(𝜎𝑥)2 + (𝜎𝑦) 2 For f(x,y) = x·y, 𝜎𝑓 = |𝑓|√( 𝜎𝑥 |𝑥| ) 2 + ( 𝜎𝑦 |𝑦| ) 2 For f(x,y) = x y , 𝜎𝑓 = |𝑓|√( 𝜎𝑥 |𝑥| ) 2 + ( 𝜎𝑦 |𝑦| ) 2 For f(x) = xn 𝜎𝑓 = |𝑓||𝑛| 𝛥𝑥 |𝑥|
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