If a 10.0 g piece of metal required 100 cal to raise its temperature
by 20°C, what would you report as its specific heat?
ITS .5 CAL/g CELSIUS.
LIER
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To find the specific heat of the metal, we need to use the formula:
Specific heat = (heat energy)/(mass × change in temperature)
In this case, the heat energy required to raise the temperature of the metal is given as 100 cal, the mass of the metal is given as 10.0 g, and the change in temperature is given as 20°C.
Plugging these values into the formula:
Specific heat = (100 cal)/(10.0 g × 20°C)
To simplify the calculation, we need to convert calories to joules because the SI unit for specific heat is joules per gram per degree Celsius (J/g°C). One calorie is equal to 4.184 joules.
So, we have:
Specific heat = (100 cal × 4.184 J/cal)/(10.0 g × 20°C)
Now, let's calculate the specific heat:
Specific heat = 20.92 J/(200 g°C)
Simplifying further:
Specific heat = 0.1046 J/(g°C)
Therefore, we would report the specific heat of the metal as 0.1046 J/(g°C).