Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

name: ______ period: ______ counting atoms and calculating molar mass p…

Question

name: ____ period: ____
counting atoms and calculating molar mass
part 1 directions: record the number of each atom in each molecule, then record the total number of atoms in the molecule:
1 na(oh) 2 h(no₃) 3 li₂o

element# of atomselement# of atomselement# of atoms
totaltotaltotal

part 2 directions: calculate the molar mass of each of the following compounds.

  1. magnesium (mg)
  2. oxygen (o₂)
  3. bromine (br₂)
  4. sodium chloride (nacl)
  5. diphosphorus heptoxide (p₂o₇)
  6. sulfuric acid (h₂so₄)
  7. hydrogen (h₂)
  8. table sugar (c₁₂h₂₂o₁₁)

Explanation:

Response
Part 1: Counting Atoms
For $\boldsymbol{\ce{NaOH}}$:

Step 1: Identify elements and counts

  • $\ce{Na}$: 1 atom (no subscript, so 1)
  • $\ce{O}$: 1 atom (subscript 1 in $\ce{OH}$)
  • $\ce{H}$: 1 atom (subscript 1 in $\ce{OH}$)

Step 2: Calculate total atoms

Total = $1 + 1 + 1 = 3$

For $\boldsymbol{\ce{H(NO3)}}$ (assuming it’s $\ce{HNO3}$):

Step 1: Identify elements and counts

  • $\ce{H}$: 1 atom
  • $\ce{N}$: 1 atom
  • $\ce{O}$: 3 atoms (subscript 3 in $\ce{NO3}$)

Step 2: Calculate total atoms

Total = $1 + 1 + 3 = 5$

For $\boldsymbol{\ce{Li2O}}$:

Step 1: Identify elements and counts

  • $\ce{Li}$: 2 atoms (subscript 2)
  • $\ce{O}$: 1 atom (no subscript, so 1)

Step 2: Calculate total atoms

Total = $2 + 1 = 3$

Part 2: Calculating Molar Mass (using atomic masses: $\ce{Mg}$=24.31, $\ce{O}$=16.00, $\ce{Br}$=79.90, $\ce{Na}$=22.99, $\ce{Cl}$=35.45, $\ce{P}$=30.97, $\ce{S}$=32.07, $\ce{H}$=1.01, $\ce{C}$=12.01)
4. Magnesium ($\boldsymbol{\ce{Mg}}$):

Molar mass of an element = atomic mass.
Molar mass = $24.31\ \text{g/mol}$

5. Oxygen ($\boldsymbol{\ce{O2}}$):

Step 1: Calculate molar mass of $\ce{O2}$

Molar mass = $2 \times$ atomic mass of $\ce{O}$
= $2 \times 16.00 = 32.00\ \text{g/mol}$

6. Bromine ($\boldsymbol{\ce{Br2}}$):

Step 1: Calculate molar mass of $\ce{Br2}$

Molar mass = $2 \times$ atomic mass of $\ce{Br}$
= $2 \times 79.90 = 159.80\ \text{g/mol}$

7. Sodium Chloride ($\boldsymbol{\ce{NaCl}}$):

Step 1: Sum atomic masses

Molar mass = atomic mass of $\ce{Na}$ + atomic mass of $\ce{Cl}$
= $22.99 + 35.45 = 58.44\ \text{g/mol}$

8. Diphosphorus Heptoxide ($\boldsymbol{\ce{P2O7}}$):

Step 1: Calculate total mass for each element

  • $\ce{P}$: $2 \times 30.97 = 61.94$
  • $\ce{O}$: $7 \times 16.00 = 112.00$

Step 2: Sum the masses

Molar mass = $61.94 + 112.00 = 173.94\ \text{g/mol}$

9. Sulfuric Acid ($\boldsymbol{\ce{H2SO4}}$):

Step 1: Calculate total mass for each element

  • $\ce{H}$: $2 \times 1.01 = 2.02$
  • $\ce{S}$: $1 \times 32.07 = 32.07$
  • $\ce{O}$: $4 \times 16.00 = 64.00$

Step 2: Sum the masses

Molar mass = $2.02 + 32.07 + 64.00 = 98.09\ \text{g/mol}$

10. Hydrogen ($\boldsymbol{\ce{H2}}$):

Molar mass = $2 \times$ atomic mass of $\ce{H}$
= $2 \times 1.01 = 2.02\ \text{g/mol}$

11. Table Sugar ($\boldsymbol{\ce{C12H22O11}}$):

Step 1: Calculate total mass for each element

  • $\ce{C}$: $12 \times 12.01 = 144.12$
  • $\ce{H}$: $22 \times 1.01 = 22.22$
  • $\ce{O}$: $11 \times 16.00 = 176.00$

Step 2: Sum the masses

Molar mass = $144.12 + 22.22 + 176.00 = 342.34\ \text{g/mol}$

Summary Tables (Part 1)
CompoundElement# of AtomsElement# of AtomsElement# of AtomsTotal Atoms
$\ce{HNO3}$$\ce{H}$1$\ce{N}$1$\ce{O}$35
$\ce{Li2O}$$\ce{Li}$2$\ce{O}$1--3
Final Answers (Molar Masses)
  1. $\ce{Mg}$: $\boldsymbol{24.31\ \text{g/mol}}$
  2. $\ce{O2}$: $\boldsymbol{32.00\ \text{g/mol}}$
  3. $\ce{Br2}$: $\boldsymbol{159.80\ \text{g/mol}}$
  4. $\ce{NaCl}$: $\boldsymbol{58.44\ \text{g/mol}}$
  5. $\ce{P2O7}$: $\boldsymbol{173.94\ \text{g/mol}}$
  6. $\ce{H2SO4}$: $\boldsymbol{98.09\ \text{g/mol}}$
  7. $\ce{H2}$: $\boldsymbol{2.02\ \text{g/mol}}$
  8. $\ce{C12H22O11}$: $\boldsymbol{342.34\ \text{g/mol}}$

Answer:

Part 1: Counting Atoms
For $\boldsymbol{\ce{NaOH}}$:

Step 1: Identify elements and counts

  • $\ce{Na}$: 1 atom (no subscript, so 1)
  • $\ce{O}$: 1 atom (subscript 1 in $\ce{OH}$)
  • $\ce{H}$: 1 atom (subscript 1 in $\ce{OH}$)

Step 2: Calculate total atoms

Total = $1 + 1 + 1 = 3$

For $\boldsymbol{\ce{H(NO3)}}$ (assuming it’s $\ce{HNO3}$):

Step 1: Identify elements and counts

  • $\ce{H}$: 1 atom
  • $\ce{N}$: 1 atom
  • $\ce{O}$: 3 atoms (subscript 3 in $\ce{NO3}$)

Step 2: Calculate total atoms

Total = $1 + 1 + 3 = 5$

For $\boldsymbol{\ce{Li2O}}$:

Step 1: Identify elements and counts

  • $\ce{Li}$: 2 atoms (subscript 2)
  • $\ce{O}$: 1 atom (no subscript, so 1)

Step 2: Calculate total atoms

Total = $2 + 1 = 3$

Part 2: Calculating Molar Mass (using atomic masses: $\ce{Mg}$=24.31, $\ce{O}$=16.00, $\ce{Br}$=79.90, $\ce{Na}$=22.99, $\ce{Cl}$=35.45, $\ce{P}$=30.97, $\ce{S}$=32.07, $\ce{H}$=1.01, $\ce{C}$=12.01)
4. Magnesium ($\boldsymbol{\ce{Mg}}$):

Molar mass of an element = atomic mass.
Molar mass = $24.31\ \text{g/mol}$

5. Oxygen ($\boldsymbol{\ce{O2}}$):

Step 1: Calculate molar mass of $\ce{O2}$

Molar mass = $2 \times$ atomic mass of $\ce{O}$
= $2 \times 16.00 = 32.00\ \text{g/mol}$

6. Bromine ($\boldsymbol{\ce{Br2}}$):

Step 1: Calculate molar mass of $\ce{Br2}$

Molar mass = $2 \times$ atomic mass of $\ce{Br}$
= $2 \times 79.90 = 159.80\ \text{g/mol}$

7. Sodium Chloride ($\boldsymbol{\ce{NaCl}}$):

Step 1: Sum atomic masses

Molar mass = atomic mass of $\ce{Na}$ + atomic mass of $\ce{Cl}$
= $22.99 + 35.45 = 58.44\ \text{g/mol}$

8. Diphosphorus Heptoxide ($\boldsymbol{\ce{P2O7}}$):

Step 1: Calculate total mass for each element

  • $\ce{P}$: $2 \times 30.97 = 61.94$
  • $\ce{O}$: $7 \times 16.00 = 112.00$

Step 2: Sum the masses

Molar mass = $61.94 + 112.00 = 173.94\ \text{g/mol}$

9. Sulfuric Acid ($\boldsymbol{\ce{H2SO4}}$):

Step 1: Calculate total mass for each element

  • $\ce{H}$: $2 \times 1.01 = 2.02$
  • $\ce{S}$: $1 \times 32.07 = 32.07$
  • $\ce{O}$: $4 \times 16.00 = 64.00$

Step 2: Sum the masses

Molar mass = $2.02 + 32.07 + 64.00 = 98.09\ \text{g/mol}$

10. Hydrogen ($\boldsymbol{\ce{H2}}$):

Molar mass = $2 \times$ atomic mass of $\ce{H}$
= $2 \times 1.01 = 2.02\ \text{g/mol}$

11. Table Sugar ($\boldsymbol{\ce{C12H22O11}}$):

Step 1: Calculate total mass for each element

  • $\ce{C}$: $12 \times 12.01 = 144.12$
  • $\ce{H}$: $22 \times 1.01 = 22.22$
  • $\ce{O}$: $11 \times 16.00 = 176.00$

Step 2: Sum the masses

Molar mass = $144.12 + 22.22 + 176.00 = 342.34\ \text{g/mol}$

Summary Tables (Part 1)
CompoundElement# of AtomsElement# of AtomsElement# of AtomsTotal Atoms
$\ce{HNO3}$$\ce{H}$1$\ce{N}$1$\ce{O}$35
$\ce{Li2O}$$\ce{Li}$2$\ce{O}$1--3
Final Answers (Molar Masses)
  1. $\ce{Mg}$: $\boldsymbol{24.31\ \text{g/mol}}$
  2. $\ce{O2}$: $\boldsymbol{32.00\ \text{g/mol}}$
  3. $\ce{Br2}$: $\boldsymbol{159.80\ \text{g/mol}}$
  4. $\ce{NaCl}$: $\boldsymbol{58.44\ \text{g/mol}}$
  5. $\ce{P2O7}$: $\boldsymbol{173.94\ \text{g/mol}}$
  6. $\ce{H2SO4}$: $\boldsymbol{98.09\ \text{g/mol}}$
  7. $\ce{H2}$: $\boldsymbol{2.02\ \text{g/mol}}$
  8. $\ce{C12H22O11}$: $\boldsymbol{342.34\ \text{g/mol}}$