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If 832J of energy is required to raise the temperature of a sample of aluminum from 20.0° C to 97.0° C, what mass is the sample of aluminum? (The specific heat of aluminum is 0.90 J/(g × ° C).)

User Velis
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2 Answers

4 votes

Answer:

12.0 g Al

Step-by-step explanation:

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User Jay Kumo
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6.3k points
4 votes
Data:
Q (Amount of heat) = 832 J
m (mass) = ?
c (Specific heat) = 0.90 J/(g × ° C)
T (final) = 97 ºC
To (initial) = 20 ºC
ΔT = T - To → ΔT = 97 - 20 → ΔT = 77 ºC

Formula:
Q = m*c*ΔT

Solving:
Q = m*c*ΔT
832 = m*0.90*77
832 = 69.3m
69.3m = 832

m = (832)/(69.3)

\boxed{\boxed{m \approx 12.00\:g}}\end{array}}\qquad\quad\checkmark
User Tom Miller
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5.9k points