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3 years ago

A train in Japan can travel 813.5 miles in 5 hours

Chemistry

1 answer:

Anastaziya [24]3 years ago

8 0

Answer:

162.7miles/hr

Explanation:

Given parameters:

Distance covered by the train = 813.5miles

Time taken = 5hours

Unknown:

Speed of the train = ?

Solution:

Speed is a physical quantity.

It is mathematically expressed as;

Speed = $\frac{distance}{time}$

So, input parameters and solve;

Speed = $\frac{813.5}{5}$ = 162.7miles/hr

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An atom has a diameter of 2.50 Å and the nucleus of that atom has a diameter of 9.00×10−5 Å . Determine the fraction of the volu

chubhunter [2.5K]

Answer:

The fraction of the volume of the atom that is taken up by the nucleus is $4.6656\times 10^{-14}$ .

The density of a proton is $6.278\times 10^{14} g/cm^3$ .

Explanation:

Diameter of the atom ,d = 2.50 Å

Radius of the atom ,r = 0.5 d=0.5 × 2.50 Å = 1.25Å

Volume of the sphere= $\frac{4}{3}\pi r^3$

Volume of atom = V

$V=\frac{4}{3}\pi r^3$ ..[1]

Diameter of the nucleus ,d' = $9.00\times 10^{-5}\AA$

Radius of the nucleus ,r' = 0.5 d'= $0.5\times 9.00\times 10^{-5}\AA=4.5\times 10^{-5}\AA$

Volume of nucleus = V'

$V=\frac{4}{3}\pi r'^3$ ..[2]

Dividing [2] by [1]

$\frac{V'}{V}=\frac{\frac{4}{3}\pi r'^3}{\frac{4}{3}\pi r^3}$

$=\frac{r'^3}{r^3}=\frac{(4.5\times 10^{-5}\AA)^3}{(1.25 \AA)^3}$

$\frac{V'}{V}=4.6656\times 10^{-14}$

The fraction of the volume of the atom that is taken up by the nucleus is $4.6656\times 10^{-14}$ .

Diameter of the proton ,d = $1.72\times 10^{-15} m = 1.72\times 10^{-13} cm$

1 m = 100 cm

Radius of the proton,r = 0.5 d= $0.5\times 1.72\times 10^{-13} cm=8.6\times 10^{-14} cm$

Volume of the sphere= $\frac{4}{3}\pi r^3$

Volume of atom = V

$V=\frac{4}{3}\times 3.14\times (8.6\times 10^{-14} cm)^3=2.664\times 10^{-39}cm^3$

Mass of proton, m = 1.0073 amu = $1.0073\times 1.66054\times 10^{-24} g$

$1 amu = 1.66054\times 10^{-24} g$

Density of the proton : d

$d=\frac{m}{V}=\frac{1.0073\times 1.66054\times 10^{-24} g}{2.664\times 10^{-39}cm^3}=6.278\times 10^{14} g/cm^3$

The density of a proton is $6.278\times 10^{14} g/cm^3$ .

5 0

3 years ago

An object has a density of 20.00 g/mL. If the object has a volume of 50.00 mL, what is its mass?

LuckyWell [14K]

Answer:

<h3>The answer is 1000 g</h3>

Explanation:

The mass of a substance when given the density and volume can be found by using the formula

<h3>mass = Density × volume</h3>

From the question

volume of object = 50 mL

density = 20 g/mL

We have

mass = 20 × 50

We have the final answer as

Hope this helps you

5 0

3 years ago

What determines the types of chemical reactions that an atom participates in?

nikklg [1K]

Answer:

The innermost electron shell of an atom can hold up to _____ electrons. ... What determines the types of chemical reactions that an atom participates in? the number of electrons in the outermost electron shell. Atoms with the same number of protons but with different electrical charges

7 0

3 years ago

In 3 moles of ethane calculate the following.

Arte-miy333 [17]

The chemical formula of ethane is C2H6 which means that every mole of ethane contains 2 moles of carbon atom and 6 moles of hydrogen atom.

a. (3 moles) x (2 moles C atom / 1 mole ethane) = 6 moles C atom
b. (3 moles) x (6 moles H atom / 1 mole ethane) = 18 moles H atom
c. (3 moles ethane) x (6.022 x 10^23 molecules / 1 mole) = 1.8 x 10^24 molecules.

6 0

3 years ago

How many HCl molecules and moles are there in 3.65 grams of

ipn [44]

Answer:

0.6022×10²³ molecules

Number of moles = 0.1 mol

Explanation:

Given data:

Mass of HCl = 3.65 g

Number of molecules = ?

Number of moles = ?

Solution:

Number of moles:

Number of moles = mass/molar mass

Number of moles = 3.65 g/36.45 g/mol

Number of moles = 0.1 mol

Number of molecules:

1 mole of any substance contain 6.022×10²³ molecules

0.1 mol × 6.022×10²³ molecules/ 1 mol

0.6022×10²³ molecules

4 0

2 years ago