Question

Hydrazine, N₂H₄, is used as a high energy fuel and can be burned according to the following reaction N₂H₄ + 3 O2 ---> 2 NO₂ + 2 H₂O 25 g of N₂H₄, and 50 g of O₂ are reacted. How Many moles of NO₂ can be produced?

a.) 1.6 mol
b.) .8 mol
c.) 1 mol
d.) 3.2 mol

Answer 1

To find out how many moles of NO₂ can be produced, we need to convert the given mass of N₂H₄ and O₂ to moles and then use the mole ratio from the balanced equation to determine the number of moles of NO₂. The molar mass of N₂H₄ is 32 g/mol, so 25 g of N₂H₄ is equal to 0.78125 moles. The molar mass of O₂ is 32 g/mol, so 50 g of O₂ is equal to 1.5625 moles. According to the balanced equation, the mole ratio between N₂H₄ and NO₂ is 1:2. This means that for every mole of N₂H₄, 2 moles of NO₂ will be produced. Therefore, the number of moles of NO₂ that can be produced is 1.5625 moles.

Step-by-step explanation:

To find out how many moles of NO₂ can be produced, we need to convert the given mass of N₂H₄ and O₂ to moles and then use the mole ratio from the balanced equation to determine the number of moles of NO₂. The molar mass of N₂H₄ is 32 g/mol, so 25 g of N₂H₄ is equal to 25/32 = 0.78125 moles. The molar mass of O₂ is 32 g/mol, so 50 g of O₂ is equal to 50/32 = 1.5625 moles. According to the balanced equation, the mole ratio between N₂H₄ and NO₂ is 1:2. This means that for every mole of N₂H₄, 2 moles of NO₂ will be produced. Therefore, the number of moles of NO₂ that can be produced is 0.78125 moles x 2 = 1.5625 moles.