What mass of ethanol will release 410.0 J of heat when it cools from 32.2°C to 19.1°C? The specific heat of ethanol is 2.44 J/g°C. a 76.4 g b 12.8 g c 31.3 g d 7.49 g
Question
What mass of ethanol will release 410.0 J of heat when it cools from 32.2°C to 19.1°C?
The specific heat of ethanol is 2.44 J/g°C.
a 76.4 g
b 12.8 g
c 31.3 g
d 7.49 g
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)
We know that q = 410.0 J, c = 2.44 J/g°C, and ΔT = 32.2°C - 19.1°C = 13.1°C. We need to find m.
Rearranging the formula to solve for m gives us:
m = q / (cΔT)
Substituting the known values gives us:
m = 410.0 J / (2.44 J/g°C * 13.1°C) = 12.8 g
So, the answer is (b) 12.8 g.
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