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Answer :
Final answer:
To calculate the specific heat capacity of a new alloy, the formula q = mcΔT is used, with the values 393 J for the heat absorbed, 15.4 g for the mass of the alloy, and a temperature change of 37.6°C. The specific heat capacity is determined to be 0.685 J/g°C.
Explanation:
To calculate the specific heat capacity of a new alloy, we can use the formula:
q = mcΔT
Where:
- q is the heat absorbed (in joules)
- m is the mass of the sample (in grams)
- ΔT is the change in temperature (in degrees Celsius)
For the given problem:
- q = 393 J (heat absorbed)
- m = 15.4 g (mass of the alloy)
- ΔT = 37.6°C - 0.0°C = 37.6°C (change in temperature)
Plugging the values into the formula gives:
393 J = 15.4 g * c * 37.6°C
To find the specific heat capacity (c), solve for c:
c = 393 J / (15.4 g * 37.6°C)
c = 0.685 J/g°C
The specific heat capacity of the alloy is 0.685 J/g°C.
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