An automotive fuel cell consumes fuel at a rate of 28m3/h and delivers 80kW of power to the wheels. If the hydrogen fuel has a heating value of 141,790 kJ/kg and a density of 0.0899 kg/m3, determine the efficiency of this fuel cell.

The efficiency of this fuel cell is 80.69 percent.

Explanation:

From Physics we define the efficiency of the automotive fuel cell (), dimensionless, as:

(Eq. 1)

Where:

- Maximum power possible from hydrogen flow, measured in kilowatts.

- Output power of the automotive fuel cell, measured in kilowatts.

The maximum power possible from hydrogen flow is:

(Eq. 2)

Where:

- Volume flow rate, measured in cubic meters per second.

- Density of hydrogen, measured in kilograms per cubic meter.

- Heating value of hydrogen, measured in kilojoules per kilogram.

If we know that , , and , then the efficiency of this fuel cell is:

(Eq. 1)

(Eq. 2)

The efficiency of this fuel cell is 80.69 percent.

answer:

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