Question 1:
The balanced equation is:
3 Cu + 8 HNO3 → 3 Cu(NO3)2 + 2 NO + 4 H2O
From the equation, we see that for every 8 moles of HNO3, 4 moles of H2O are produced.
So, for 15.4 moles of HNO3, we can calculate the moles of water produced as follows:
Moles of H2O = (15.4 mol HNO3 / 8 mol HNO3) x 4 mol H2O
Moles of H2O = 7.7 mol H2O
Now, we can use the molar mass of water (18 g/mol) to calculate the mass of water produced:
Mass of H2O = 7.7 mol H2O x 18 g/mol
Mass of H2O = 138.6 g
Rounding to the nearest tenth, the answer is 138.6 g of water.
Therefore, when 15.4 moles of HNO3 are consumed, 138.6 g of water can be made.
Question 2:
The balanced equation is:
C + 2 H2 → CH4
From the equation, we see that for every 1 mole of C, 1 mole of CH4 is produced.
So, for 5.7 moles of CH4, we need 5.7 moles of C.
Now, we can use the molar mass of carbon (12 g/mol) to calculate the mass of carbon required:
Mass of C = 5.7 mol C x 12 g/mol
Mass of C = 68.4 g
Rounding to the nearest tenth, the answer is 68.4 g of carbon.
Therefore, 68.4 g of carbon are required to produce 5.7 moles of methane