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sasho [114]
3 years ago
13

The diameter of a hydrogen atom is approximately 1.06 ✕ 10−10 m, as defined by the diameter of the spherical electron cloud arou

nd the nucleus. The hydrogen nucleus has a diameter of approximately 2.40 ✕ 10−15 m. (a) Imagine a scale model of a hydrogen atom where its diameter is represented by the height of the Empire State Building (1454 ft to the top of its antenna). In this model, what would be the diameter of the nucleus in millimeters? mm (b) The atom is how many times larger in volume than its nucleus? Va Vn =
Chemistry
1 answer:
mylen [45]3 years ago
6 0

Answer:

a) 10.0 mm

b) 8.7 x 10¹³ times

Explanation:

Atom diameter = 1.06 x 10⁻¹⁰ m  ________________ 100%

Nucleus diameter = 2.40 x 10⁻¹⁵ m ______________   x

x = 2.26 x 10⁻³ %

The nucleus diameter is equivalent to 2.26 x 10⁻³ % of the total atom size.

a) The Empire State Building model:

1 ft = 304.8 mm

1454 ft = 443179.2 mm

443179.2 mm______ 100%

        y           ______   2.26 x 10⁻³ %

              y = 10.0 mm

In this model,  the diameter of the nucleus would be 10.0 mm.

b) Sphere volume: V =(4 · π · r³ )/3

V atom = (4 . π .( 0.53x10⁻¹⁰)³ )/3

V atom = 6.2 x 10⁻³¹ m³

V nucleus = (4 . π .( 1.2x10⁻¹⁵)³ )/3

V nucleus = 7.2 x 10⁻⁴⁵ m³

V atom / V nucleus = 6.2 x 10⁻³¹ m³ / 7.2 x 10⁻⁴⁵ m³

V atom / V nucleus = 8.7 x 10¹³

The atom is  times 8.7 x 10¹³ larger in volume than its nucleus.        

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Answer:

1223.38 mmHg

Explanation:

Using ideal gas equation as:

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Also,  

Moles = mass (m) / Molar mass (M)

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So, the ideal gas equation can be written as:

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The conversion of T( °C) to T(K) is shown below:

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So,  

T = (32 + 273.15) K = 305.15 K

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Applying the equation as:

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What is the main idea of the kinetic theory of heat?
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How many grams of H2O can be made from the combustion of 3.75 liters of C7H14 and an excess of O2 at STP?
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21.10g of H2O

Explanation:

We'll begin by writing the balanced equation for the reaction. This is given below:

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From the balanced equation above, 2L of C7H14 produced 14L of H2O.

Therefore, 3.75L of C7H14 will produce = (3.75 x 14)/2 = 26.25L of H2O.

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Therefore, Xmol of H2O will occupy

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Xmol of H2O = 26.25/22.4

Xmol of H2O = 1.172 mole

Therefore, 1.172 mole of H2O is produced from the reaction.

Next, we shall convert 1.172 mole of H2O to grams. This is illustrated below:

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Mass of H2O = 1.172 x 18

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