Suppose a fuel-cell generator was used to produce electricity for a house. If each H2 molecule produces 2e-, how many kilograms of hydrogen would be required to generate the electricity needed for a typical house? Assume the home uses about 850 kWh of electricity per month, which corresponds to approximately of 2.65 * 104 mol electrons at the voltage of a fuel cell.

Question

Suppose a fuel-cell generator was used to produce electricity for a house. If each H2 molecule produces 2e-, how many kilograms of hydrogen would be required to generate the electricity needed for a typical house? Assume the home uses about 850 kWh of electricity per month, which corresponds to approximately of 2.65 * 104 mol electrons at the voltage of a fuel cell.

Answer 1

2e/mol H2 = 2e/2g = 1e/1g

2.65E4 moles e x (6.022E23 e/mole e) x (1 e/1g) = ??grams, then convert to kg. Check my thinking.

Answer 2

thank Dr.Bob222 I see you got the same answer I did. I got one more I need help with if you can help me please

Classify each of the following solutions as acidic, basic, or neutral based on the pH value.
(a) pH = 8.0
(b) pH = 7.0
(c) pH = 3.5
(d) pH = 6.1

Answer 3

pH = 7 is neutral

pH<7 = acidic
pH>7 = basic

Answer 4

To solve this problem, we need to follow these steps:

Step 1: Convert the given electricity consumption from kWh to mol electrons.
Step 2: Calculate the number of H2 molecules required to produce that many mol electrons.
Step 3: Convert the number of H2 molecules to kilograms.

Let's begin with Step 1:

Given:
Electricity consumption = 850 kWh per month
1 kilowatt-hour (kWh) = 3.6 x 10^6 joules (J) (conversion factor)
1 J = 1 C (coulomb) (conversion factor)
1 mol electron = 1 F (Faraday) = 96485 C (conversion factor)

Electricity consumption (in J) = 850 kWh * 3.6 x 10^6 J/kWh
= 3.06 x 10^9 J

Number of mol electrons = Electricity consumption (in J) / 96485 C (mol electron)
= 3.06 x 10^9 J / 96485 C
≈ 3.17 x 10^4 mol electrons

Moving on to Step 2:

We are given that each H2 molecule produces 2 electrons.
Number of H2 molecules = Number of mol electrons / 2
= 3.17 x 10^4 mol electrons / 2
= 1.585 x 10^4 mol H2 molecules

Finally, for Step 3:

Molar mass of hydrogen (H2) = 2 g/mol (approximately)
Molar mass of hydrogen (H2) = 0.002 kg/mol (conversion factor)

Mass of hydrogen = Number of mol H2 molecules * Molar mass of hydrogen
= 1.585 x 10^4 mol H2 molecules * 0.002 kg/mol
≈ 31.7 kg

Therefore, approximately 31.7 kilograms of hydrogen would be required to generate the electricity needed for a typical house.