These are three questions and three answers.
Question 1. How many hydrogen atoms are in 5 molecules of isopropyl alcohol, <em>C₃H₇O</em>
Answer: option c. 35
Justification:
The unit formula <em>C₃H₇O</em> corresponds to one <em>molecule of isopropylalcohol</em>.
The capitalized letters are the chemical symbols of the different elements or type of atoms. So, C is for carbon, H is for <em>hydrogen</em>, and O is for oxygen.
The subscripts to the right of each chemical symbol indicate the number of atoms for the corresponding element in the unit formula.
So, C₃ means that there are 3 atoms of carbon in one molecule of isopropyl alcohol;<em> H₇ means that there are 7 atoms of hydrogen in one molecule of isopropyl alcohol</em>; and in O it is understood that the subscript is one, meaning that there is 1 atom of oxygen in one molecule of isopropyl alcohol.
Since, there are <em>5 molecules of isopropyl alcohol</em>, the number of each kind of atom is five times the respective subscripts.
For the hydrogen, it means that <em>there are 5 × 7 = 35 atoms of hydrogen in 5 molecules of isopropyl alcohol</em>, <em>C₃H₇O</em>.
Question 2. How many molecules are in 2.10 mol CO2?
Answer: option d., 1.26 x 10²⁴ molecules
Explanation:
The mole is the basic SI unit to measure the amount of a substance. One mole is equal to 6.022×10²³ particles. So, 1 mole of molecules is 6.022×10²³ molecules.
Hence, to find how many molecules are in 2.10 mol of CO₂ you just multiply 2.10 times 6.022×10²³ :
- 2.10 × 6.022×10²³ = 12.65×10²³ ≈ 1.26×10²⁴
S0. the answer is the option d.
Quesiton 3. What is the molar mass of AuCl3?
Answer: option d., 303.6 g
Explanation;
The <em>molar mass</em> is the mass of one mole of substance.
In this case the unit formula of the substance is <em>AuCl₃</em>.
Then, since one uni formula has one atom of Au and three atoms of Cl, you must add the mass of the four atoms to obtain the <em>molar mass</em>.
The masses of the atoms (atomis masses) are reported in the periodic table. Here is how you do the calculations:
Element atomic mass (g/mol) × number of atoms = total mass
Au 196.967 g/mol 1 196.967 g/mol
Cl 35.453 g/mol 3 <u> 106.359 g/mol</u>
sum 303.326 g/mol
Hence, the answer is the <em>molar mass of AuCl₃</em> is given by the option d. 303.6 g/mol