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solve the stoichiometry problems. show your work and use significant fi…

Question

solve the stoichiometry problems. show your work and use significant figures. round atomic mass numbers to two decimal places.

  1. what is the molar mass of $c_2h_6$?
  2. what is the molar mass of $al_2(co_3)_3$?

Explanation:

Step1: List atomic masses (C, H)

Atomic mass of C = $12.01\ \text{g/mol}$, Atomic mass of H = $1.01\ \text{g/mol}$

Step2: Calculate molar mass of $\text{C}_2\text{H}_8$

$$2\times12.01 + 8\times1.01 = 24.02 + 8.08 = 32.10\ \text{g/mol}$$

Step3: List atomic masses (Al, C, O)

Atomic mass of Al = $26.98\ \text{g/mol}$, Atomic mass of C = $12.01\ \text{g/mol}$, Atomic mass of O = $16.00\ \text{g/mol}$

Step4: Calculate molar mass of $\text{Al}_2(\text{CO}_3)_3$

$$2\times26.98 + 3\times(12.01 + 3\times16.00) = 53.96 + 3\times(60.01) = 53.96 + 180.03 = 233.99\ \text{g/mol}$$

Answer:

  1. $32.10\ \text{g/mol}$
  2. $233.99\ \text{g/mol}$