Calculate the energy required to heat 0.30 kg of water from 48.2 °c to 54.9 °C. Assume the specific heat capacity of water under these conditions is 4.18 J-gK. Round your answer to 2 significant digits. do

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...
icon
Related questions
Question

Pls pls solve accurate it's important 

### Calculating the Energy Required to Heat Water

**Problem Statement:**
Calculate the energy required to heat 0.30 kg of water from 48.2 °C to 54.9 °C. Assume the specific heat capacity of water under these conditions is 4.18 J·g⁻¹·K⁻¹. Round your answer to 2 significant digits.

1. **Mass of water (m):** 0.30 kg
2. **Initial temperature (T₁):** 48.2 °C
3. **Final temperature (T₂):** 54.9 °C
4. **Specific heat capacity of water (c):** 4.18 J·g⁻¹·K⁻¹

**Conversion of mass from kg to g:**
\[ \text{Mass} = 0.30 \, \text{kg} = 0.30 \times 1000 \, \text{g} = 300 \, \text{g} \]

**Temperature change (ΔT):**
\[ \Delta T = T₂ - T₁ = 54.9 \, \text{°C} - 48.2 \, \text{°C} = 6.7 \, \text{°C} \]

**Energy required (q):**
\[ q = m \cdot c \cdot \Delta T \]
\[ q = 300 \, \text{g} \times 4.18 \, \text{J·g⁻¹·K⁻¹} \times 6.7 \, \text{K} \]

Calculate the energy:
\[ q = 300 \times 4.18 \times 6.7 \]
\[ q = 8418.6 \, \text{J} \]

**Rounded to 2 significant digits:**
\[ q = 8400 \, \text{J} \]

### Explanation of Diagrams and Symbols
In the image above, there are placeholders for entering numerical values and symbols such as multiplication (×), division (÷), or others commonly used in mathematical equations.

- **Box with blue border:** This signifies where you input your numerical answer.
- **Symbol toolbox:** Contains various mathematical symbols and functions that may be used in solving the problem.

Here we have used the specific heat formula for calculating the energy
Transcribed Image Text:### Calculating the Energy Required to Heat Water **Problem Statement:** Calculate the energy required to heat 0.30 kg of water from 48.2 °C to 54.9 °C. Assume the specific heat capacity of water under these conditions is 4.18 J·g⁻¹·K⁻¹. Round your answer to 2 significant digits. 1. **Mass of water (m):** 0.30 kg 2. **Initial temperature (T₁):** 48.2 °C 3. **Final temperature (T₂):** 54.9 °C 4. **Specific heat capacity of water (c):** 4.18 J·g⁻¹·K⁻¹ **Conversion of mass from kg to g:** \[ \text{Mass} = 0.30 \, \text{kg} = 0.30 \times 1000 \, \text{g} = 300 \, \text{g} \] **Temperature change (ΔT):** \[ \Delta T = T₂ - T₁ = 54.9 \, \text{°C} - 48.2 \, \text{°C} = 6.7 \, \text{°C} \] **Energy required (q):** \[ q = m \cdot c \cdot \Delta T \] \[ q = 300 \, \text{g} \times 4.18 \, \text{J·g⁻¹·K⁻¹} \times 6.7 \, \text{K} \] Calculate the energy: \[ q = 300 \times 4.18 \times 6.7 \] \[ q = 8418.6 \, \text{J} \] **Rounded to 2 significant digits:** \[ q = 8400 \, \text{J} \] ### Explanation of Diagrams and Symbols In the image above, there are placeholders for entering numerical values and symbols such as multiplication (×), division (÷), or others commonly used in mathematical equations. - **Box with blue border:** This signifies where you input your numerical answer. - **Symbol toolbox:** Contains various mathematical symbols and functions that may be used in solving the problem. Here we have used the specific heat formula for calculating the energy
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Quality Assurance and Calibration Methods
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY