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A British Thermal Unit, BTU, is equivalent to 1055.06 Joules.rnrnIf it takes 85.0 BTUs to heat a 5.50 x 104 gram chunk of an unknown metal from 25.0 °c to 32.0 °c, what is the specific heat capacity of the metal in joules per gram Celsius (g/j C)? rnrnwatch your significant figures. do not express the answer in scientific notation.
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Problem:
A British Thermal Unit, BTU, is equivalent to 1055.06 Joules.
If it takes 85.0 BTUs to heat a 5.50 x 10^4 gram chunk of an unknown metal from 25.0 °C to 32.0 °C, what is the specific heat capacity of the metal in joules per gram Celsius (g/J C)?
Solution:
Energy (Q) = mass (m) x specific heat capacity (c) x change in temperature (ΔT)
85.0 BTU x (1055.06 J/BTU) = (5.50 x 10^4 g) x c x (32.0 °C - 25.0 °C)
55.6 kJ = (5.50 x 10^4 g) x c x (7.00 °C)
c = 55.6 kJ / (5.50 x 10^4 g x 7.00 °C)
c = 0.140 J/g °C
Therefore, the specific heat capacity of the metal is 0.140 J/g °C.
A British Thermal Unit, BTU, is equivalent to 1055.06 Joules.
If it takes 85.0 BTUs to heat a 5.50 x 10^4 gram chunk of an unknown metal from 25.0 °C to 32.0 °C, what is the specific heat capacity of the metal in joules per gram Celsius (g/J C)?
Solution:
Energy (Q) = mass (m) x specific heat capacity (c) x change in temperature (ΔT)
85.0 BTU x (1055.06 J/BTU) = (5.50 x 10^4 g) x c x (32.0 °C - 25.0 °C)
55.6 kJ = (5.50 x 10^4 g) x c x (7.00 °C)
c = 55.6 kJ / (5.50 x 10^4 g x 7.00 °C)
c = 0.140 J/g °C
Therefore, the specific heat capacity of the metal is 0.140 J/g °C.
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