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snow_lady [41]
1 year ago
5

A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily production cost in dollars for x u

nits is: C(x)=100,000+50x+0.0025x^2, and if the daily production capacity is at most 7000 units, how many units of sulfuric acid must be manufactured and sold daily to maximize the profit?
Chemistry
1 answer:
sleet_krkn [62]1 year ago
3 0

to solve the amount of sulfuric acid to maximize the profit we need to establish the profit

let S(x) = 100x the selling price

P = S(x) – C(x)

P = 100x – ( 100,000 + 50x + 0.0025x^2)

P = 50x – 100000 – 0.0025x^2

Getting the first derivative and equating it to 0

0 = 50 – 0.005x

X = 10000 units of sulfuric acid

But the capacity is only 7000 units

<span>So 7000 units should be manufactured</span>

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The graph shows the distribution of energy in the particles of two gas samples at different temperatures, T1 and T2. A, B, and C
coldgirl [10]

Answer:

  • <u><em>The average speed of gas particles at T</em></u><em><u>₂</u></em><u><em> is lower than the average speed of gas particles at T</em></u><em><u>₁</u></em><u><em>.</em></u>

Explanation:

<em>Particles A and C</em> are shown as if they are on the same vertical line, which means with the same kinetic energy. Both particle A and C are to the lett of <em>particle B</em>, which means that the formers have a lower kinetic energy than the latter.

Since the likelyhood of a particle to participate in the reaction increases with the kinetic energy, particle B is more likely to participate in the reaction than particles A and C. Hence, the first choice is incorrect.

The graph, although not perfectly symmetrical, does show a bell shape, hence there are many particles will low kinetic energy and many particles with high kinetic energy. You cannot assert that most of the particles of the two gases have high high speeds. Hence, second statement is incorrect, too.

At high values of kinetic energy (toward the right of the curve), the line labeled T₁ is higher than the line labeled T₂, meaning that at T₁ more particles have an elevated kinetic energy than the number of particles that have an elevated kinetic energy at T₂.

On the other hand, at low values of kinetic energy (toward the left of the curve) the line T₂ is higher than the line T₁, meaning that at T₂ more particles have a low kinetic energy than the number of particles that have low kinetic energy at T₁.

Hence, the last two paragraphs are telling that the average kinetic energy of gas particles at T₂ is is lower than the average kinetic energy of gas particles at T₁.

Since the average speed is proportional the the square root of the temperature, the same trend for the average kinetic energy is true for the average speed, and you conclude that the last statement is true: "The average speed of gas particles at T₂ is lower than the average speed of gas particles at T₁".

Since more particles at T₁ have high kinetic energy than the number of particles at T₂ that have a high kinetic energy, more particles of gas at T₁ are likely to participate in the reaction  than the gas at T₂, and the third statement is incorrect.

7 0
1 year ago
Complete the following math problem and round your answer to the correct number of significant figures. Explain why your answer
BigorU [14]

Answer:

file link http/www.openfree

7 0
1 year ago
You are asked to go into the lab and prepare an acetic acid - sodium acetate buffer solution with a ph of 4.00  0.02. what mola
Oxana [17]
Hello!

To solve this problem we are going to use the Henderson-Hasselbach equation and clear for the molar ratio. Keep in mind that we need the value for Acetic Acid's pKa, which can be found in tables and is 4,76:

 pH=pKa + log ( \frac{[CH_3COONa]}{[CH_3COOH]} )

\frac{[CH_3COOH]}{[CH_3COONa}= 10^{(pH-pKa)^{-1}}=10^{(4-4,76)^{-1}}=5,75

So, the mole ratio of CH₃COOH to CH₃COONa is 5,75

Have a nice day!

5 0
2 years ago
Enter the expression 14/7N+α, where α is the lowercase Greek letter alpha. Express your answer as a chemical expression.
Marizza181 [45]

Answer:

<em>¹⁴₇N + ⁴₂He → ¹⁷ ₈O + ¹₁p</em>


Explanation:


¹⁴₇N represents the isotope of nitrogen-14, where the superscript 14 to the left of the chemical symbol of the element  is the mass number (number of protons and neutrons) and the subscripst 7 is the atomic number (number of protons).


α is used to represent alpha particles. Alpha particles are nucleus of helium, ⁴₂He: mass number 4, atomic number 2,

The expression ¹⁴₇N + α represents a nuclear reaction: the nucleus of the isotope of nitrogen-14 (¹⁴₇N) is hit by α-particles ( ⁴₂He).


As result, the nucleus of ¹⁴₇N absorbs 1 proton, increasing its atomic number and mass number in 1, becoming ¹⁷ ₈O. In this process, also one proton is produced.


The total reaction is represented by ¹⁴₇N + ⁴₂He → ¹⁷ ₈O + ¹₁p, where you can verify the mass balance:


Mass numbers: 14 + 4 = 17 + 1 = 18.

Number of protons: 7 + 2 = 8 + 1 = 9.




8 0
2 years ago
Read 2 more answers
A reaction vessel contains nh3, n2, and h2 at equilibrium at a certain temperature. the equilibrium concentrations are [n2] = 0.
Nat2105 [25]
The balanced equation for the reaction is,
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Since the given concentrations are taken at the equilibrium state, we can use those directly for the calculation.

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Kc = (0.75 M)² / ((0.31 M) x (<span>1.51 M</span>)³)
Kc = 0.527 M⁻²
5 0
2 years ago
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