In a particular area of the country, electrical energy costs $0.18 per kilowatt-hour. (Round your answers, in dollars, to at least two decimal places.) (a) How much does it cost to operate an old-style incandescent 60.0-W light bulb continuously for 24 hours? $ (b) A modern LED light bulb that emits as much visible light as a 60.0-W incandescent only draws 8.50 W of power. How much does it cost to operate this bulb for 24 hours? $ (c) A particular electric oven requires a potential difference of 220 V and draws 20.0 A of current when operating. How much does it cost to operate the oven for 3.90 hours? $

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### Electrical Energy Cost Calculation

In a particular area of the country, electrical energy costs $0.18 per kilowatt-hour. (Round your answers, in dollars, to at least two decimal places.)

#### (a) Incandescent Light Bulb
How much does it cost to operate an old-style incandescent 60.0-W light bulb continuously for 24 hours?
$ [____]

#### (b) LED Light Bulb
A modern LED light bulb that emits as much visible light as a 60.0-W incandescent only draws 8.50 W of power. How much does it cost to operate this bulb for 24 hours?
$ [____]

#### (c) Electric Oven
A particular electric oven requires a potential difference of 220 V and draws 20.0 A of current when operating. How much does it cost to operate the oven for 3.90 hours?
$ [____]

**Explanation for Educational Context:**

##### Understanding the Problem:
- **Electricity Cost Rate**: The cost of electricity is given as $0.18 per kilowatt-hour (kWh).
- **Conversion Factor**: Since appliances’ power ratings are given in watts (W), it’s useful to remember that 1 kilowatt (kW) is equal to 1000 watts (W).

##### Steps for Calculation:
1. **Convert Power to kilowatts**:
   - Power (kW) = Power (W) / 1000

2. **Calculate Energy Consumption**:
   - Energy consumed (kWh) = Power (kW) × Time (hours)

3. **Calculate Cost**:
   - Cost ($) = Energy consumed (kWh) × Electricity cost rate ($/kWh)

**Example Calculation:**

**(a) Incandescent Light Bulb:**
1. Power = 60.0 W = 60.0 / 1000 kW = 0.060 kW
2. Energy consumed = 0.060 kW × 24 hours = 1.44 kWh
3. Cost = 1.44 kWh × $0.18/kWh = $0.26

**(b) LED Light Bulb:**
1. Power = 8.50 W = 8.50 / 1000 kW = 0.0085 kW
2. Energy consumed = 0.0085 kW × 24 hours
Transcribed Image Text:### Electrical Energy Cost Calculation In a particular area of the country, electrical energy costs $0.18 per kilowatt-hour. (Round your answers, in dollars, to at least two decimal places.) #### (a) Incandescent Light Bulb How much does it cost to operate an old-style incandescent 60.0-W light bulb continuously for 24 hours? $ [____] #### (b) LED Light Bulb A modern LED light bulb that emits as much visible light as a 60.0-W incandescent only draws 8.50 W of power. How much does it cost to operate this bulb for 24 hours? $ [____] #### (c) Electric Oven A particular electric oven requires a potential difference of 220 V and draws 20.0 A of current when operating. How much does it cost to operate the oven for 3.90 hours? $ [____] **Explanation for Educational Context:** ##### Understanding the Problem: - **Electricity Cost Rate**: The cost of electricity is given as $0.18 per kilowatt-hour (kWh). - **Conversion Factor**: Since appliances’ power ratings are given in watts (W), it’s useful to remember that 1 kilowatt (kW) is equal to 1000 watts (W). ##### Steps for Calculation: 1. **Convert Power to kilowatts**: - Power (kW) = Power (W) / 1000 2. **Calculate Energy Consumption**: - Energy consumed (kWh) = Power (kW) × Time (hours) 3. **Calculate Cost**: - Cost ($) = Energy consumed (kWh) × Electricity cost rate ($/kWh) **Example Calculation:** **(a) Incandescent Light Bulb:** 1. Power = 60.0 W = 60.0 / 1000 kW = 0.060 kW 2. Energy consumed = 0.060 kW × 24 hours = 1.44 kWh 3. Cost = 1.44 kWh × $0.18/kWh = $0.26 **(b) LED Light Bulb:** 1. Power = 8.50 W = 8.50 / 1000 kW = 0.0085 kW 2. Energy consumed = 0.0085 kW × 24 hours
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