Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

calculate the average atomic mass of carbon if 98.90% of the atoms are …

Question

calculate the average atomic mass of carbon if 98.90% of the atoms are c - 12 (12.000000 amu) and 1.100% are c - 13 atoms (13.003354 amu). type in your answer using 2 decimal places. m_a for carbon = amu

Explanation:

Step1: Convert percentages to decimals

$98.90\% = 0.9890$, $1.100\%=0.01100$

Step2: Calculate the contribution of C - 12

$0.9890\times12.000000 = 11.868$

Step3: Calculate the contribution of C - 13

$0.01100\times13.003354= 0.143036894$

Step4: Find the average atomic mass

$11.868 + 0.143036894=12.011036894\approx12.01$

Answer:

$12.01$