Question

Natural hydrogen gas is a mixture of 1H and 2H in the ratio of 5000:1.

Calculate the atomic mass of the hydrogen.​

Answer 1

The correct question may be like:

What is the atomic mass of hydrogen in natural hydrogen gas, which is a combination of 1H and 2H in the proportion of 5000:1?

"The atomic mass of hydrogen in natural hydrogen gas is 1.008.

The atomic mass of an element is the average mass of all its isotopes, taking into account their relative abundance. In natural hydrogen gas, there are two isotopes of hydrogen: 1H (also known as protium) and 2H (also known as deuterium). The proportion of these isotopes is given as 5000:1, which means that for every 5000 atoms of 1H, there is 1 atom of 2H.

To calculate the atomic mass of hydrogen in natural hydrogen gas, we need to use the formula:

atomic mass = (mass of isotope 1 x % abundance of isotope 1) + (mass of isotope 2 x % abundance of isotope 2) + ...

For hydrogen, we have:

atomic mass = (1.007825 x 99.98%) + (2.014102 x 0.02%)

Note that the mass of 1H is 1.007825 atomic mass units (amu), while the mass of 2H is 2.014102 amu. The % abundance of 1H is 99.98%, while the % abundance of 2H is 0.02%.

Simplifying the equation, we get:

atomic mass = (1.007825 x 0.9998) + (2.014102 x 0.0002)

atomic mass = 1.00765145 + 0.00040282

atomic mass = 1.00805427

Rounding off to three significant figures, we get:

atomic mass = 1.008

Therefore, the atomic mass of hydrogen in natural hydrogen gas is 1.008."

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