Fuel cells have been developed that can generate a large amount of energy. For example, a hydrogen fuel cell works by combining hydrogen and oxygen gas to produce water and electrical energy. If a fuel cell can generate 10.0 kilowatts of power and the current is 15.8 amps, what is the voltage of the electricity?

Question

A.
0.63 volts
B.
158volts
C.
633 volts
D.
158,000 volts
E.
5.8 volts

Answer 1

To find the voltage (V) generated by the fuel cell, you can use the formula for power (P), which is given by:

\[ P = V \times I \]

where:

• \( P \) is the power in watts,
• \( V \) is the voltage in volts,
• \( I \) is the current in amperes.

In this case, the fuel cell generates 10.0 kilowatts of power, which is equal to 10,000 watts (since 1 kW = 1,000 W), and the current is 15.8 amps.

Rearranging the formula to solve for voltage gives:

\[ V = \frac{P}{I} \]

Now, substituting in the values:

\[ V = \frac{10,000 , \text{W}}{15.8 , \text{A}} \]

Calculating this:

\[ V = 632.91 , \text{V} \]

Rounding to three significant figures, the voltage is approximately:

\[ V \approx 633 , \text{V} \]

Therefore, the correct answer is:

C. 633 volts.