2 years ago

Construct the inequality for the following cases.

Chemistry

1 answer:

Rudik [331]2 years ago

8 0

Answer:

x + y < 50

Explanation:

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What is the total probability of finding a particle in a one-dimensional box in level n = 4 between x = 0 and x = L/8?

Lubov Fominskaja [6]

Answer:

P = 1/8

Explanation:

The wave function of a particle in a one-dimensional box is given by:

$\psi = \sqrt \frac{2}{L} sin(\frac{n \pi x}{L})$

Hence, the probability of finding the particle in the one-dimensional box is:

$P = \int_{x_{1}}^{x_{2}} \psi^{2} dx$

$P = \int_{x_{1}}^{x_{2}} (\sqrt \frac{2}{L} sin(\frac{n \pi x}{L}))^{2} dx$

$P = \frac{2}{L} \int_{x_{1}}^{x_{2}} (sin^{2}(\frac{n \pi x}{L}) dx$

Evaluating the above integral from x₁ = 0 to x₂ = L/8 and solving it, we have:

$P = \frac{2}{L} [\frac{L}{16} (1 - 4\frac{sin(\frac{n \pi}{4})}{n \pi})]$

$P = \frac{1}{8} (1 - 4\frac{sin(\frac{n \pi}{4})}{n \pi})$

Solving for n=4:

$P = \frac{1}{8} (1 - 4\frac{sin(\frac{4 \pi}{4})}{4 \pi})$

$P = \frac{1}{8} (1 - \frac{sin (\pi)}{\pi})$

$P = \frac{1}{8}$

I hope it helps you!

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3 years ago

What is the percentage of lithium in lithium carbonate (Li2CO3)?

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Molar mass Li2CO3 = 73.89 g/mol
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% LI = 13.88/73.89*100 = 18.78% perfectly correct.

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They share a common ancestor, but theyre different species

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4. How many moles of Ca(HCO3)2 are present in 4.6 liters of a 3.5 molarity<br> solution?

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Multiply the volume by molarity to get moles.

3.5 M • 4.6 L = 16.1 mol Ca(HCO3)2

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