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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 脳 Current 脳 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 脳 60 seconds So, 4.0 hours = 4.0 脳 60 脳 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 脳 Current 脳 Time Energy = V 脳 I 脳 t Energy = (1.5 V) 脳 (0.30 A) 脳 (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 \(500-\) W electric heater unit is designed to operate with an applied potential difference of \(120 \mathrm{V}\). (a) If the local power company imposes a voltage reduction to lighten its load, dropping the voltage to $110 \mathrm{V}$, by what percentage does the heat output of the heater drop? (Assume the resistance does not change.) (b) If you took the variation of resistance with temperature into account, would the actual drop in heat output be larger or smaller than calculated in part (a)?

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