In the circuit in (Figure 1), a 20-ohm resistor sits inside 114 g of pure water that is surrounded by insulating Styrofoam. Part A If the water is initially at temperature 10.8 °C, how long will it take for its temperature to rise to 58.7°C? Use 4190 J/kg -°C as the specific heat of water, and express your answer in seconds using three significant figures. • View Available Hint(s) At = Submit Previous Answers X Incorrect; Try Again < Return to Assignment Provide Feedback Figure < 1 of 1 > 10.0 Ω 10.0 2 20.0 N 10.0 0 10.0 0 Water 5.0 Ω 5.0 Ω 30.0 V 5.0 Ω

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### Educational Content

#### Description of the Scenario

In the given circuit, a 20-ohm resistor is placed inside 114 grams of pure water, which is surrounded by insulating Styrofoam.

#### Problem Statement

**Part A:**

If the water is initially at a temperature of 10.8°C, determine the time it will take for its temperature to rise to 58.7°C.

- Use 4190 J/(kg·°C) as the specific heat capacity of water.
- Express your answer in seconds using three significant figures.

**Hints:**
- There is an option to view available hints which are not displayed here.

#### Interactive Component

- Input field for Δt (time duration in seconds) with a section for submitting answers.
- Feedback shown after submission with an indicator if the answer is correct or incorrect (e.g., "Incorrect; Try Again").

#### Diagram Explanation

The circuit diagram illustrates the following:

- A **20.0 Ω resistor** is connected and embedded in water.
- Series-parallel resistor combinations include:
  - Two **10.0 Ω resistors** in parallel.
  - The parallel combination is in series with:
    - Another **10.0 Ω resistor**.
    - Two other parallel branches consisting of **5.0 Ω and 5.0 Ω resistors**.
- The total circuit is powered by a **30.0 V battery**.

This setup is designed to investigate how electrical energy is converted into heat energy to warm the water.
Transcribed Image Text:### Educational Content #### Description of the Scenario In the given circuit, a 20-ohm resistor is placed inside 114 grams of pure water, which is surrounded by insulating Styrofoam. #### Problem Statement **Part A:** If the water is initially at a temperature of 10.8°C, determine the time it will take for its temperature to rise to 58.7°C. - Use 4190 J/(kg·°C) as the specific heat capacity of water. - Express your answer in seconds using three significant figures. **Hints:** - There is an option to view available hints which are not displayed here. #### Interactive Component - Input field for Δt (time duration in seconds) with a section for submitting answers. - Feedback shown after submission with an indicator if the answer is correct or incorrect (e.g., "Incorrect; Try Again"). #### Diagram Explanation The circuit diagram illustrates the following: - A **20.0 Ω resistor** is connected and embedded in water. - Series-parallel resistor combinations include: - Two **10.0 Ω resistors** in parallel. - The parallel combination is in series with: - Another **10.0 Ω resistor**. - Two other parallel branches consisting of **5.0 Ω and 5.0 Ω resistors**. - The total circuit is powered by a **30.0 V battery**. This setup is designed to investigate how electrical energy is converted into heat energy to warm the water.
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