### Determining the Mass of an Aluminum Sample Using Heat Absorption**Problem Statement:**A sample of aluminum absorbs \(50.1 \, \text{J}\) of heat, causing an increase in its temperature from \(20.0 \, ^\circ\text{C}\) to \(35.5 \, ^\circ\text{C}\). Given that the specific heat capacity of aluminum is \(0.900 \, \text{J/g}^\circ\text{C}\), calculate the mass of the aluminum sample in grams.**Explanation and Solution:**To find the mass of the aluminum sample, we can use the formula for heat transfer:\[ q = m \cdot c \cdot \Delta T \]Where:- \( q \) is the heat absorbed or released (in Joules, \( \text{J} \)),- \( m \) is the mass of the sample (in grams, \( \text{g} \)),- \( c \) is the specific heat capacity (in \( \text{J/g}^\circ\text{C} \)),- \( \Delta T \) is the change in temperature (in \( ^\circ\text{C} \)).Rearranging to solve for \( m \):\[ m = \frac{q}{c \cdot \Delta T} \]Plugging in the given values:- \( q = 50.1 \, \text{J} \),- \( c = 0.900 \, \text{J/g}^\circ\text{C} \),- \( \Delta T = 35.5^\circ\text{C} - 20.0^\circ\text{C} = 15.5^\circ\text{C} \),\[ m = \frac{50.1 \, \text{J}}{0.900 \, \text{J/g}^\circ\text{C} \cdot 15.5^\circ\text{C}} \]Calculate the mass:\[ m = \frac{50.1}{0.900 \cdot 15.5} \]\[ m = \frac{50.1}{13.95} \approx 3.59 \, \text{g} \]Thus, the mass of the aluminum sample is approximately \(3.59

Heat absorbed = 50.1 J Initial temperature = 20.0 °C Final temperature = 35.5 °C Specific heat…

A sample of aluminum absorbs 50.1 J of heat, upon which the temperature of the sample increases from 20.0 °C to 35.5 °C. If the specific heat of aluminum is 0.900 A J/g°C, what is the mass of the sample (in grams)?

A sample of aluminum absorbs 50.1 J of heat, upon which the temperature of the sample increases from 20.0 °C to 35.5 °C. If the specific heat of aluminum is 0.900 A J/g°C, what is the mass of the sample (in grams)?

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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