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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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Most popular questions from this chapter

A 2.00 - \(\mu\) F capacitor is charged using a \(5.00-\mathrm{V}\) battery and a 3.00 - \(\mu\) F capacitor is charged using a \(10.0-\mathrm{V}\) battery. (a) What is the total energy stored in the two capacitors? (b) The batteries are disconnected and the two capacitors are connected together \((+\text { to }+\) and \- to \(-\) ). Find the charge on each capacitor and the total energy in the two capacitors after they are connected. (c) Explain what happened to the "missing" energy. [Hint: The wires that connect the two have some resistance.]
The label on a \(12.0-\mathrm{V}\) truck battery states that it is rated at 180.0 A-h (ampere-hours). Treat the battery as ideal. (a) How much charge in coulombs can be pumped by the battery? [Hint: Convert A to A-s.] (b) How much electric energy can the battery supply? (c) Suppose the radio in the truck is left on when the engine is not running. The radio draws a current of 3.30 A. How long does it take to drain the battery if it starts out fully charged?
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