1. Let's first find the moles of O2 produced:
9 g O2 * (1 mol O2 / 32 g O2) = 0.28125 mol O2
Now let's use the stoichiometry of the reaction to find the moles of NaClO3 needed:
0.28125 mol O2 * (2 mol NaClO3 / 3 mol O2) = 0.1875 mol NaClO3
Now, let's find the mass of NaClO3:
0.1875 mol NaClO3 * (23 g/mol Na + 35.5 g/mol Cl + 3 * 16 g/mol O) = 0.1875 mol NaClO3 * 106.5 g/mol NaClO3 ≈ 19.97 g NaClO3
Answer: 20.0 g NaClO3
- 2. Let's find the moles of HNO3 consumed:
- 2 g HNO3 * (1 mol HNO3 / (1 + 14 + 16*3) g HNO3) = 2 g HNO3 * (1 mol HNO3 / 63 g HNO3) ≈ 0.0317 mol HNO3
- Now let's use the stoichiometry of the reaction to find the moles of H2O produced:
- 0.0317 mol HNO3 * (2 mol H2O / 6 mol HNO3) ≈ 0.0106 mol H2O
- Now, let's find the mass of H2O:
- 0.0106 mol H2O * (2 * 1 + 16) g/mol H2O = 0.0106 mol H2O * 18 g/mol H2O ≈ 0.1908 g H2O
Answer: 0.1908 g H2O
3. Let's find the moles of CuO consumed:
138 g CuO * (1 mol CuO / (63.5 + 16) g CuO) = 138 g CuO * (1 mol CuO / 79.5 g CuO) ≈ 1.735 mol CuO
Now let's use the stoichiometry of the reaction to find the moles of N2 produced:
1.735 mol CuO * (1 mol N2 / 3 mol CuO) ≈ 0.5783 mol N2
Now, let's find the mass of N2:
0.5783 mol N2 * (2 * 14) g/mol N2 = 0.5783 mol N2 * 28 g/mol N2 ≈ 16.1924 g N2
Answer: 16.2 g N2
- 4. Let's find the moles of HNO3 consumed:
- 8 g HNO3 * (1 mol HNO3 / 63 g HNO3) ≈ 0.1270 mol HNO3
- Now let's use the stoichiometry of the reaction to find the moles of Mg(NO3)2 produced:
- 0.1270 mol HNO3 * (1 mol Mg(NO3)2 / 2 mol HNO3) ≈ 0.0635 mol Mg(NO3)2
- Now, let's find the mass of Mg(NO3)2:
- 0.0635 mol Mg(NO3)2 * (24 + 2 * (14 + 3 * 16)) g/mol Mg(NO3)2 = 0.0635 mol Mg(NO3)2 * 148 g/mol Mg(NO3)2 ≈ 9.3980 g Mg(NO3)2
Answer: 9.4 g Mg(NO3)2