**Problem 5: Temperature Change in Granite**Given: - Energy added: 5750 joules - Mass of granite: 455 grams - Initial temperature of granite: 24.00 °C - Specific heat capacity of granite, \( C_s \): 0.79 J/g°C **Question:** What is the final temperature of the granite after adding the energy?**Solution Approach:**This problem requires using the formula for calculating the change in temperature when heat is added:\[q = m \cdot C_s \cdot \Delta T\]Where: - \( q \) is the amount of heat added (5750 J),- \( m \) is the mass (455 g),- \( C_s \) is the specific heat capacity (0.79 J/g°C), and- \( \Delta T \) is the change in temperature (final temperature - initial temperature).Rearrange the formula to solve for the final temperature:\[\Delta T = \frac{q}{m \cdot C_s}\]Calculate \( \Delta T \) and then find the final temperature by adding the initial temperature to \( \Delta T \).

The specific heat capacity (Cs) of a species is represented by the following mathematical expression: Cs=Qm.∆T ................ (1) where Q, m and ∆T denote heat exchanged, mass and change in temperature of the species respectively.As heat is added to granite therefore the final temperature of granite will be higher than its initial temperature (24.00 oC). Hence, we can write: ∆T=(Tf-24.00)Co ; (Tf is the final temperature of granite) Given: Q = 5750 J m = 455 g Cs = 0.79 J/(g.oC) Substituting the above values into equation-(1), we get: 0.79 J/(g.Co)=5750 J(455 g)×[(Tf-24.00)Co]⇒(Tf-24.00)Co=16.00Co⇒Tf=40.00CoThe final temperature of the granite is 40.00 oC.

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If 5750 joules of energy are added to 455 grams of granite at 24.00 °C, what is the final temperature of the granite? Cs granite is 0.79 J/g °C.

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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