Question

Graph questions for decomposition I posted the answers in link but I do not how to do the problem. I posted this before and the answers were different

https://docs.google.com/document/d/1FRIpoC6CqMPGjqNlWcjdIjBPoucIthVeGdIUd50W2iY/edit?usp=sharing

Please show all work and all algebra steps thank you

Answer 1

I think the problem lies in the inconsistency between the given graph and the given equation.
y = mx + c
y = (-0.17)x + (-0.61)
m = slope = -0.17 & c= y-intercept = -0.61
But, the y-intercept is not (-0.61) if you simply look at the given graph.

Now, I am solving the question by considering the equation: y = (-0.17)x + (-0.61)
Equation between ln[HOF] and t : ln[HOF] = -kt + ln[HOF]₀

ln[HOF]₀ = -0.61 => [HOF]₀ = exp(-0.61) => [HOF]₀ = 0.54 units (unit for concentration is not given)

The reaction is of first order with rate constant k = 0.17
r = -0.17[HOF]

ln[HOF] = -kt + ln[HOF]₀
=> ln([HOF]₀/[HOF]) = kt
=> ln(100/27) = 0.17 t
=> t = 7.70196 minutes
=> t = 462.12 seconds

ln([HOF]₀/[HOF]) = kt
=> ln(100/50) = 0.17 t_1/2
=> t_1/2 = ln2/0.17 = 4.07733 minutes
=> t_1/2 = 245 seconds