The temperature of a 15.4 g sample of a metal rises 6.75 ºC when 40.0 J of energy is applied to it?
What is the identity of the metal?
a. silver (specific heat = 0.232 J g-1 - ºC-1
b. copper (specific heat = 0.385 J g-1 - ºC-1
c. iron (specific heat = 0.451 J g-1 - ºC-1
d. lead (specific heat = 0.128 J g-1 - ºC-1
e. aluminum (specific heat = 0.902 J g-1 - ºC-1
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Using the formula, Q = m *Cp *(theta)
where,
Q = the energy in Joules
m = the mass in grams
Cp = the specific heat capacity in J g-1 - ºC-1
theta = the change in temperature in ºC
we can solve for Cp and get
Cp = Q/ (m * theta) = 40/(15.4*6.75) = 0.385 J g-1 - ºC-1
So the identity of the metal is (b) Copper