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inna [77]
4 years ago
10

What amount of energy is required to change a spherical drop of water with a diameter of 1.80 mm to three smaller spherical drop

s of equal size? The surface tension, γ, of water at room temperature is 72.0 mJ/m2.
Chemistry
1 answer:
Gekata [30.6K]4 years ago
7 0
This is a straightforward question related to the surface energy of the droplet. 

<span>You know the surface area of a sphere is 4π r² and its volume is (4/3) π r³. </span>

<span>With a diameter of 1.4 mm you have an original droplet with a radius of 0.7 mm so the surface area is roughly 6.16 mm² (0.00000616 m²) and the volume is roughly 1.438 mm³. </span>

<span>The total surface energy of the original droplet is 0.00000616 * 72 ~ 0.00044 mJ </span>

<span>The five smaller droplets need to have the same volume as the original. Therefore </span>

<span>5 V = 1.438 mm³ so the volume of one of the smaller spheres is 1.438/5 = 0.287 mm³. </span>

<span>Since this smaller volume still has the volume (4/3) π r³ then r = cube_root(0.287/(4/3) π) = cube_root(4.39) = 0.4 mm. </span>

<span>Each of the smaller droplets has a surface area of 4π r² = 2 mm² or 0.0000002 m². </span>

<span>The surface energy of the 5 smaller droplets is then 5 * 0.000002 * 72.0 = 0.00072 mJ </span>
<span>From this radius the surface energy of all smaller droplets is 0.00072 and the difference in energy is 0.00072- 0.00044 mJ = 0.00028 mJ. </span>

<span>Therefore you need roughly 0.00028 mJ or 0.28 µJ of energy to change a spherical droplet of water of diameter 1.4 mm into 5 identical smaller droplets. </span>
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The exosphere is the uppermost layer of Earth's atmosphere

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An organic compound contains , , , and . Combustion of 0.1023 g of the compound in excess oxygen yielded 0.2587 g and 0.0861 g .
Kisachek [45]

The question displayed below shows the missing information which therefore completes the question.

An organic compound contains C, H, N and O. Combustion of 0.1023 g of the compound in excess oxygen yielded 0.2587 g of CO2 and 0.0861 g of H2O. A sample of 0.4831 g of the compound was analyzed for nitrogen by the Dumas method. The compound is first reacted by passage over hot: The product gas is then passed through a concentrated solution of to remove the. After passage through the solution, the gas contains and is saturated with water vapor. At STP, 38.9 mL of dry N2 was obtained. In a third experiment, the density of the compound as a gas was found to be 2.86 g/L at 127°C and 256 torr. What are the empirical and molecular formulas of the compound? (Enter the elements in the order: C, H, N, O.)

Answer:

the empirical formula = \mathbf {C_3H_6O_{12}N}

the molecular formula = \mathbf {C_3H_6O_{12}N}

Explanation:

From the given information:

\bigg ( 0.2587 \ g \ of CO_2 \bigg) \times \dfrac{1 \ mol \ of CO_2}{44 \ of \ CO_2} \times \dfrac{1 \ mol \ of \  C}{1 \ mol \ of CO_2}

= 0.00588 \ mol \ of \ C \times \dfrac{12.01 \ g \ of \ C}{1 \ mol \ of \ C }

= 0.0706g of C

\bigg ( 0.0861\ g \ of H_2O \bigg) \times \dfrac{1 \ mol \ of H_2O}{18.02 \ g  \ of \ H_2O} \times \dfrac{2 \ mol \ of \  H}{1 \ mol \ of H_2O}

=0.0096 \ mol \times \dfrac{1.008 \ g \ of \ H}{1 mol \ H}

0.0097g of H

Given that N2 at STP = 1 atm, 273 K and V = 0.0389 L

PV = nRT

n = PV/RT

n = \dfrac{1 \ atm \times 0.0389 \ of \ H_2}{0.0821 \ L.atm /mol.K \times 273 \ K }

n = 0.00173 mol of N2

The oxygen in the sample = The total grams in sample -  gram in H - gram in C

The oxygen in the sample = 0.1023 g - 0.0097 g - 0.706 g

The oxygen in the sample = 0.022 g of O

The number of  moles of O_2 = \dfrac{0.02}{16}

= 0.001375 mol of O

O \ in \ product = (0.00588 \ mol \ of \ C ) \times \dfrac{2 \ mol \ of \ O }{1 \ mol \ of \ C }+ \bigg ( 0.0096 \ mol \ of \ H ) \times \dfrac{1 \ mol \ of  \ O }{1 \ mol \ of \ H}

O in product = 0.02136 mol of O

∴

we are meant to divide the moles of each compound by the smallest number of  moles; we have:

C = \dfrac{0.00588}{0.00173} \simeq 3

H = 0.0096 = \dfrac{0.0096}{0.00173} \simeq 6

O = 0.0199= \dfrac{0.0199}{0.00173} \simeq 12

N = 0.00173= \dfrac{0.00173}{0.00173} \simeq 1

Thus; the empirical formula = \mathbf {C_3H_6O_{12}N}

To estimate the molecular formula;  we have:

MM = \dfrac{dRT}{P}

MM = \dfrac{2.80 \ g/ L \times 0.0821 \ L.atm /mol.K \times 400 \ K }{0.337 \ atm}

MM = 272.86 g/mol

Also; the molar mass of \mathbf {C_3H_6O_{12}N} = 248 g/mol

∴

= \dfrac{272.86 \ g/mol}{248 \ g/mol}

=1

Thus; we can conclude that empirical formula as well as the molecular formula are the same.

6 0
3 years ago
Decreasing the temperature of the reaction 3H2 + N2&lt;-----&gt;2NH3. In this reaction, the product absorbs heat. WHICH WAY WILL
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3H_{2}+N_{2}⇔2NH_{3}

Decreasing the temperature of the reaction,the reaction shifts forward.

The explanation is given below.

Explanation:

If the temperature of the reaction mixture is increased,then the equilibrium will shift to decrease the temperature.

If the temperature of the reaction mixture is decreased,then the equilibrium will shift to increase the temperature.

During the formation of the ammonia,it gives off heat.So it is an exothermic reaction.

3H_{2}+N_{2}⇔2NH_{3}

A decrease in the temperature favors the reaction that is exothermic (the forward reaction)because it produces energy.Therefore,if the temperature is decreased,the yield of the ammonia increases.

<em>Therefore if the temperature is increased,the reaction shifts forward and the yield of the ammonia increases and it is an exothermic reaction.</em>

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3 years ago
For the reactionN2(g)+O2(g)?2NO(g)classify each of the following actions by whether it causes a leftward shift, a rightward shif
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Answer: Le Chatleir Principle

Explanation:  The answer of this question can be easily explanied through the Le Chatleir Principle which states that In order to maintain the equilibrium of the reaction, the stress applied to that particular direction will move the equilibrium to the opposite direction in which the stress has been applied.

The given reaction is -

      N_{2}(g)+O_{2}(g)\rightleftharpoons 2NO(g)

If the amount of the oxygen is reduced to half and is being doubled, then the reaction will move in froward direction that is a rightward shift. Same situation will arise in option c and d.

If the amount of nitrogen monoxide is reduced to half or being doubled, the reaction will move towards backward direction that is a leftward reaction.

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