If 1.9 kJ of heat is transferred to 96 g aluminum at 113oC, what would the new temperature of the aluminum be? (The specific heat capacity of aluminum is 0.897 J/g•oC.)A.113oCB.114oCC.22oCD.135oC
Question
If 1.9 kJ of heat is transferred to 96 g aluminum at 113oC, what would the new temperature of the aluminum be? (The specific heat capacity of aluminum is 0.897 J/g•oC.)A.113oCB.114oCC.22oCD.135oC
Solution
To solve this problem, we need to use the formula for heat transfer:
q = mcΔT
where: q = heat energy (in Joules) m = mass (in grams) c = specific heat capacity (in J/g°C) ΔT = change in temperature (in °C)
First, we need to convert the heat energy from kJ to J because the specific heat capacity is given in J/g°C.
1.9 kJ = 1.9 * 1000 = 1900 J
We know that: q = 1900 J m = 96 g c = 0.897 J/g°C
We need to find ΔT, so we rearrange the formula to solve for ΔT:
ΔT = q / (mc)
Substituting the known values:
ΔT = 1900 J / (96 g * 0.897 J/g°C) = 22.2°C
The final temperature would be the initial temperature plus the change in temperature:
Final temperature = Initial temperature + ΔT Final temperature = 113°C + 22.2°C = 135.2°C
So, the new temperature of the aluminum would be approximately 135°C. Therefore, the answer is D. 135°C.
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