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2 years ago

5. The element copper has naturally occurring isotopes with mass numbers of 63

Chemistry

1 answer:

Mademuasel [1]2 years ago

4 0

Answer:

Average atomic mass = 63.62 amu.

Explanation:

Abundance of Co⁶³ = 69.2%

Abundance of Co⁶⁵ = 30.8%

Atomic mass of Co⁶³ = 63 amu

Atomic mass of Co⁶⁵ = 65 amu

Average atomic mass = ?

Solution:

Average atomic mass = (abundance of 1st isotope × its atomic mass) +(abundance of 2nd isotope × its atomic mass) / 100

Average atomic mass = (63×69.2)+(65×30.8) /100

Average atomic mass = 4359.6 + 2002 / 100

Average atomic mass = 6361.6 / 100

Average atomic mass = 63.62 amu.

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Given:

The nitrogen gas molecule with a temperature of 330 Kelvins is released from Earth's surface to travel upward.

To find:

The maximum height of a nitrogen molecule when released from the Earth's surface before coming to rest.

Solution:

The maximum height attained by nitrogen gas molecule = h
The temperature of nitrogen gas particle = T = 330 K

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Mass of nitrogen gas molecule = m

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The acceleration due to gravity = g = 9.8 m/s^2
The maximum height attained by nitrogen gas molecule = h
The potential energy is given by:

$P.E=mgh$

$6.381\times 10^{-21} J=4.652\times 10^{-26} kg\times 9.8 m/s^2\times h\\\\h=\frac{6.381\times 10^{-21} J}{4.652\times 10^{-26} kg\times 9.8 m/s^2}\\\\h=13,996.6 m\\\\1 m = 0.001 km\\\\h=13,996.6 m=h=13,996.6\times 0.001 k m\\\\=13.9966 km \approx 14 km$

The maximum height at which nitrogen molecule will go before coming to rest is 14 kilometers.

Learn more about the average kinetic energy of gas particles here:

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