An electrical heater is used to supply 105.0 J of energy to a 15.0 g sample of aluminum (specific heat is 0.901 J/(goC), originally at 295.0 Kelvin. Determine the final temperature in Kelvin.

Chemistry: Matter and Change
1st Edition
ISBN:9780078746376
Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Chapter15: Energy And Chemical Change
Section: Chapter Questions
Problem 126A
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An electrical heater is used to supply 105.0 J of energy to a 15.0 g sample of aluminum (specific heat is 0.901 J/(goC), originally at 295.0 Kelvin. Determine the final temperature in Kelvin.

Expert Solution
Step 1

The heat supplied to a sample of aluminium is 105 J. The final temperature is calculated as,

Q mCAT
x C x AT
Q m
105 J 15 g x 0.901 J g-1 °C-1x AT
AT = 7.76 °C
Step 2

Converting the value in Kelvin,

AT
7.76 °C =2737.76 = 280.73 K
AT Tfinal - Tinitial
280.73 Tfinal-295
Tfinal 575.73 K
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