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2 years ago

7

40 degree, 3x, and 4x solve for x

1 answer:

Natasha_Volkova [10]2 years ago

4 0

Answer:

The value of x would be 20

Step-by-step explanation:

To solve this triangle, we need to first note that all triangles have 180 degrees. So we can add these all together and set equal to 180.

40 + 3x + 4x = 180

40 + 7x = 180

7x = 140

x = 20

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3 years ago

For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the parameter n is known to have a value

Nikolay [14]

Given Information:

constant = n = 1.7

transformation time 50% completion = t₅₀ = 100 s

Required Information:

transformation time 99% completion = t₉₀ = ?

Answer:

transformation time 99% completion = $t_{90} = 202.75$ $seconds$

Step-by-step explanation:

The Avrami equation is used to model the transformation of solids that is from one phase to another provided that temperature is constant.

The equation is given by

$y=1 - e^{{-kt}^{n}}$

Where t is the transformation time in seconds and n, k are constants.

Let us first find the constant k, since after 100 s transformation is 50% complete,

$0.50=1 - e^{{-k*100}^{1.7}}$

$0.50 - 1= - e^{{-k*100}^{1.7}}$

$-0.50= - e^{{-k*100}^{1.7}}$

$0.50 = e^{{-k*100}^{1.7}}$

Take ln on both sides,

$ln(0.50) = ln(e^{{-k*100}^{1.7}})$

$-0.693 = -k*100}^{1.7}$

$0.693 = k*100}^{1.7}$

$k = 0.693/100}^{1.7}$

$k = 2.759*10^{-4}$

Now we can find out the time when the transformation is 99% complete.

$0.90=1 - e^{{-kt}^{n}}$

$0.90 - 1= - e^{{-k*t}^{n}}$

$-0.10= - e^{{-kt}^{n}}$

$0.10 = e^{{-kt}^{n}}$

Take ln on both sides,

$ln(0.10) = ln(e^{{-k*t}^{n}})$

$-2.303 = -kt}^{n}$

$\frac{2.303}{k} = t^{n}$

$\frac{2.303}{2.759*10^{-4} } = t^{n}$

Again take ln on both sides

$ln(\frac{2.303}{2.759*10^{-4} }) =ln( t^{n})$

$9.03 = nln(t)$

$\frac{9.03}{n} = ln(t)$

$\frac{9.03}{1.7} = ln(t)$

$5.312 = ln(t)$

Take exponential on both sides

$e^{5.312} = e^{ln(t)}$

$202.75 = t$

$t = 202.75$ $seconds$

8 0

3 years ago