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GrogVix
1 month ago
6

You can obtain a rough estimate of the size of a molecule with the following simple experiment: Let a droplet of oil spread out

on a fairly large but smooth water surface. The resulting "oil slick" that forms on the surface of the water will be approximately one molecule thick. Given an oil droplet with a mass of 9.00 × 10−7 kg and a density of 918 kg/m3 that spreads out to form a circle with a radius of 41.8 cm on the water surface, what is the approximate diameter of an oil molecule?
Chemistry
1 answer:
VMariaS [2.9K]1 month ago
6 0

Answer:

The diameter of the oil molecule is 4.4674\times 10^{-8} cm.

Explanation:

Mass of the oil droplet = m=9.00\times 10^{-7} kg

Density of the oil droplet = d=918 kg/m^3

Volume of the oil droplet: v

d=\frac{m}{v}

v=\frac{m}{d}=\frac{9.00\times 10^{-7} kg}{918 kg/m^3}

Given that the thickness is one molecule thick, let this thickness or diameter of the molecule be x.

The radius of the oil droplet sits at r = 41.8 cm = 0.418 m

Knowing that 1 cm = 0.01 m

The surface area of the sphere is calculated as: a = 4\pi r^2

a=4\times 3.14\times (0.418 m)^2=2.1945 m^2

The volume of the oil droplet is v = Area × thickness

\frac{9.00\times 10^{-7} kg}{918 kg/m^3}=2.1945 m^2\times x

x= 4.4674\times 10^{-10} m= 4.4674\times 10^{-8} cm

The thickness of the oil droplet equates to the diameter of the molecule as well.4.4674\times 10^{-8} cm

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(a) The mass density of a gaseous compound was found to be 1.23 kg m^−3 at 330 K and 20 kPa. What is the molar mass of the compo
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Answer:

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Explanation:

(a)

Utilizando la ecuación de gases ideales:

PV=nRT

donde,

P es la presión

V es el volumen

n es el número de moles

T es la temperatura

R es la constante de los gases, cuyo valor es = 0.0821 L.atm/K.mol

Además,

Moles = masa (m) / Masa molar (M)

La densidad (d) = Masa (m) / Volumen (V)

Así, la ecuación de gases ideales se puede expresar como:

PM=dRt

Dado que:-

Presión = 20 kPa = 20000 Pa

La expresión para la conversión de presión en Pascal a presión en atm se muestra a continuación:

P (Pa) = \frac {1}{101325} P (atm)

20000 Pa = \frac {20000}{101325} atm

Presión = 0.1974 atm

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d = 1.23 kg/m³ = 1.23 g/L

Masa molar =?

Aplica la fórmula:

0.1974 atm × M = 1.23 g/L × 0.0821 L.atm/K.mol × 330 K

⇒M = 168.82 g/mol

La masa molar del compuesto es: 168.82 g/mol

(b)

Dado que:

Presión = 152 Torr

Temperatura = 298 K

Volumen = 250 cm³ = 0.25 L

Utilizando la ecuación de gases ideales:

PV=nRT

R = 62.3637\text{torr}mol^{-1}K^{-1}

Aplicando la fórmula:

152 Torr × 0.25 L = n × 62.3637 L.torr/K.mol × 298 K

⇒n = 0.002045 moles

Dado que:

Masa del gas = 33.5 mg = 0.0335 g

Masa molar =?

La fórmula para calcular los moles se muestra a continuación:

moles = \frac{Mass\ taken}{Molar\ mass}

Así,

0.002045\ moles
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Answer:

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For q₂, the enthalpy of fusion is computed as:

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(b) True, as we concluded earlier.

(c) False, there’s only one phase transition from solid (ice) to liquid.

(d) True based on our calculations above.

(e) False, according to our findings.

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