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Chapter 18: Problem 99

A \(1.5-\mathrm{V}\) flashlight battery can maintain a current of $0.30 \mathrm{A}\( for \)4.0 \mathrm{h}$ before it is exhausted. How much chemical energy is converted to electrical energy in this process? (Assume zero internal resistance of the battery.)

Short Answer

Expert verified
Answer: 6480 Joules

Step by step solution

01

List down the given values

We are given the following values: - Voltage, V = 1.5 V - Current, I = 0.30 A - Time, t = 4.0 h We need to find the total amount of chemical energy converted to electrical energy, which can be found using the formula: Energy = Voltage × Current × Time.
02

Convert time to seconds

In order to calculate the energy, we need to convert the time unit from hours to seconds: 1 hour = 60 minutes = 60 × 60 seconds So, 4.0 hours = 4.0 × 60 × 60 seconds = 14400 seconds Now, the time t = 14400 s
03

Calculate the energy

Now, we can use the formula to calculate the total amount of chemical energy converted to electrical energy: Energy = Voltage × Current × Time Energy = V × I × t Energy = (1.5 V) × (0.30 A) × (14400 s) Energy = 6480 Joules So, the total amount of chemical energy converted to electrical energy in this process is 6480 Joules.

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