A light bulb consumes energy at a rate of 80.0 joules per second. How long in seconds will it take for the light bulb to consume 2.30 x 105 in energy? J
A light bulb consumes energy at a rate of 80.0 joules per second. How long in seconds will it take for the light bulb to consume 2.30 x 105 in energy? J
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Energy Consumption Calculation for a Light Bulb**
**Problem Statement:**
A light bulb consumes energy at a rate of **80.0 joules per second**. How long in **seconds** will it take for the light bulb to consume **2.30 × 10⁵ J** in energy?
---
### Steps to Calculate Time:
1. **Understand the Units:**
- **Rate of energy consumption (Power):** 80.0 joules per second (J/s)
- **Total energy consumed (Energy):** 2.30 × 10⁵ joules (J)
2. **Required Formula:**
- The formula to calculate time when energy and power are known is \( \text{Time} = \frac{\text{Energy}}{\text{Power}} \)
- Substituting the values:
\[ \text{Time (seconds)} = \frac{2.30 \times 10^5 \, \text{J}}{80.0 \, \text{J/s}} \]
3. **Units Clarification:**
- Ensure that energy is in joules (J) and power is in joules per second (J/s) to obtain time in seconds (s).
4. **Calculate:**
- Performing the division:
\[ \text{Time} = \frac{2.30 \times 10^5}{80.0} \]
- This will give the time in seconds required for the light bulb to consume the specified amount of energy.
---
### Interactive Diagram Explanation:
- **Section: Starting Amount**
- This section is framed to show a setup where initial inputs can be placed to start the calculation process.
- **Calculation Boxes:**
- A set of empty boxes framed in black parentheses indicates where the numerical inputs and operations will be placed.
- **Available Buttons for Calculation:**
- **Blue Buttons:** Numbers and constants that can be used for calculations, like `1, 1.84 × 10⁷, 2880, 1000, 4.184, 80.0, 3830, 2.30 × 10⁵`.
- **Red Buttons:** Units of measurement like `min (minutes), s (seconds), J/s (joules per second), kJ (kilojoules), J (joules), kcal (kilocalories](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd2391c6-e76b-45e6-9109-3e87dc09aa96%2F78e94ac5-2063-4323-9bb1-26ffc1d8522e%2Fodz1em_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Energy Consumption Calculation for a Light Bulb**
**Problem Statement:**
A light bulb consumes energy at a rate of **80.0 joules per second**. How long in **seconds** will it take for the light bulb to consume **2.30 × 10⁵ J** in energy?
---
### Steps to Calculate Time:
1. **Understand the Units:**
- **Rate of energy consumption (Power):** 80.0 joules per second (J/s)
- **Total energy consumed (Energy):** 2.30 × 10⁵ joules (J)
2. **Required Formula:**
- The formula to calculate time when energy and power are known is \( \text{Time} = \frac{\text{Energy}}{\text{Power}} \)
- Substituting the values:
\[ \text{Time (seconds)} = \frac{2.30 \times 10^5 \, \text{J}}{80.0 \, \text{J/s}} \]
3. **Units Clarification:**
- Ensure that energy is in joules (J) and power is in joules per second (J/s) to obtain time in seconds (s).
4. **Calculate:**
- Performing the division:
\[ \text{Time} = \frac{2.30 \times 10^5}{80.0} \]
- This will give the time in seconds required for the light bulb to consume the specified amount of energy.
---
### Interactive Diagram Explanation:
- **Section: Starting Amount**
- This section is framed to show a setup where initial inputs can be placed to start the calculation process.
- **Calculation Boxes:**
- A set of empty boxes framed in black parentheses indicates where the numerical inputs and operations will be placed.
- **Available Buttons for Calculation:**
- **Blue Buttons:** Numbers and constants that can be used for calculations, like `1, 1.84 × 10⁷, 2880, 1000, 4.184, 80.0, 3830, 2.30 × 10⁵`.
- **Red Buttons:** Units of measurement like `min (minutes), s (seconds), J/s (joules per second), kJ (kilojoules), J (joules), kcal (kilocalories
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