Batteries are rated in terms of ampere-hours (A h). For example, a battery that can produce a current of 2.00 A for 3.00 h is rated at 6.00 A . h. (a) What is the total energy stored in a 9.0-V battery rated at 45.0 A - h? kWh (b) At $0.112 per kilowatt-hour, what is the value of the electricity produced by this battery? $
Batteries are rated in terms of ampere-hours (A h). For example, a battery that can produce a current of 2.00 A for 3.00 h is rated at 6.00 A . h. (a) What is the total energy stored in a 9.0-V battery rated at 45.0 A - h? kWh (b) At $0.112 per kilowatt-hour, what is the value of the electricity produced by this battery? $
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Question
![**Understanding Battery Energy Storage and Value**
Batteries are rated in terms of ampere-hours (A⋅h). For instance, a battery that can produce a current of 2.00 A for 3.00 hours is rated at 6.00 A⋅h.
**Problem:**
**(a) Calculating Total Energy Stored:**
Determine the total energy stored in a 9.0-volt (V) battery that is rated at 45.0 ampere-hours (A⋅h).
- **Energy (in kilowatt-hours) = Voltage (V) × Capacity (A⋅h) / 1000**
**Solution:**
- The energy stored in the battery is calculated as follows:
\[
\text{Energy} = 9.0 \, \text{V} \times 45.0 \, \text{A⋅h} / 1000 = \_\_\_ \, \text{kWh}
\]
**(b) Calculating the Value of the Electricity:**
If electricity is valued at $0.112 per kilowatt-hour, determine the monetary value of the electricity produced by this battery.
- **Value = Energy (kWh) × Price per kWh**
**Solution:**
- Based on the calculated energy, determine:
\[
\text{Value} = \_\_\_ \, \text{kWh} \times 0.112 \, \text{USD/kWh}
\]
**Note:** Replace underscores with calculated values to complete the solutions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6e52c04-e2c3-4e2d-83a7-f5740c8e0fd5%2F498cab32-13cf-4dbd-a533-76a6f4699fcd%2Ffhp73s_processed.png&w=3840&q=75)
Transcribed Image Text:**Understanding Battery Energy Storage and Value**
Batteries are rated in terms of ampere-hours (A⋅h). For instance, a battery that can produce a current of 2.00 A for 3.00 hours is rated at 6.00 A⋅h.
**Problem:**
**(a) Calculating Total Energy Stored:**
Determine the total energy stored in a 9.0-volt (V) battery that is rated at 45.0 ampere-hours (A⋅h).
- **Energy (in kilowatt-hours) = Voltage (V) × Capacity (A⋅h) / 1000**
**Solution:**
- The energy stored in the battery is calculated as follows:
\[
\text{Energy} = 9.0 \, \text{V} \times 45.0 \, \text{A⋅h} / 1000 = \_\_\_ \, \text{kWh}
\]
**(b) Calculating the Value of the Electricity:**
If electricity is valued at $0.112 per kilowatt-hour, determine the monetary value of the electricity produced by this battery.
- **Value = Energy (kWh) × Price per kWh**
**Solution:**
- Based on the calculated energy, determine:
\[
\text{Value} = \_\_\_ \, \text{kWh} \times 0.112 \, \text{USD/kWh}
\]
**Note:** Replace underscores with calculated values to complete the solutions.
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