Gasoline is a mixture of hydrocarbons, but the heat released when it burns is close to that of octane, C₈H₁₈(l) (ΔHf° = -250.1 kJ/mol). Research is underway to use H₂ from the electrolysis of water in fuel cells to power cars instead of gasoline.(e) If the cell is 88.0% efficient and electricity costs $0.123 per kW.h, what is the cost of producing the amount of H₂ equivalent to 1.00 gal of gasoline?

Respuesta :

The cost of producing the amount of H₂ equivalent to 1.00 gal of gasoline is $17.05

What is electric power?

The rate per unit time, the electric energy which is supplied by electrical circuit is termed as electric power.

It can be calculated as

Power = V× I

where,

V is the voltage

I is the current in the circuit.

P = 6 × 1000

= 6kJ/s

Conversion of kJ/s into kilowatt hours

power P = 6 × 1kWh/ 3.6 × 10^3

= 1.67 × 10^-3

P = 1.67 × 10^(-3) × 9.4308 × 10^4

= 157.5kWh

Thus, we found that the power required is 157.5kWh.

Calculation of cost of electricity

= power × efficiency × electricity cost per kWh

= 157.5 × 0.88 × 0.123

= $17.05.

Thus, we calculated that the cost of producing the amount of H₂ equivalent to 1.00 gal of gasoline is $17.05.

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The question can be given as

QUESTION:

Gasoline is a mixture of hydrocarbons, but the heat released when it burns is close to that of octane, C₈H₁₈(l) (ΔHf° = -250.1 kJ/mol). Research is underway to use H₂ from the electrolysis of water in fuel cells to power cars instead of gasoline. Given current is 1000A and voltage is 6V.

If the cell is 88.0% efficient and electricity costs $0.123 per kW.h, what is the cost of producing the amount of H₂ equivalent to 1.00 gal of gasoline?