Chemistry, asked by anuradha231277, 6 months ago

nitrogen has following two isotopes with relative abundance and atomic mass as following ​

Answers

Answered by rgochhayat255
0

Answer:

The percent abundance of N-15 is 0.6403%.

Explanation:

The atomic mass of an element is a weighted average of its isotopes in which the sum of the abundance of each isotope is equal to 1 or 100%.

Formula for Calculating Isotope Percent Abundance

(

x

)

(

mass

)

+

(

1

x

)

(

mass

)

=

100

%

In order to determine the percent abundance of nitrogen-15:

Let

x

=

% of nitrogen-15

(

1

x

)

=

% of nitrogen-14

100

%

=

14.0067

, the atomic mass of nitrogen

Set up the formula for nitrogen-15 and nitrogen-14.

15.001

x

+

14.00031

(

1

x

)

=

14.0067

Simplify the left-hand side.

15.001

x

+

14.00031

14.00031

x

=

14.0067

Simplify.

0.9979

x

+

14.00031

=

14.0067

Subtract

14.00031

from both sides.

0.9979

x

=

14.0067

14.00031

Simplify.

0.9979

x

=

0.00639

Divide both sides by

0.9979

.

x

=

0.006403

×

100

=

0.6403

%

nitrogen-15

In case you're interested, the percent abundance of nitrogen-14 is

1

x

=

1

0.006403

=

0.993597

0.993597

×

100

=

99.3597

%

nitrogen-14

99.3597

%

+

0.6403

%

=

100

%

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