Answer:
(a) 0.2 J/g°K
(b) 24 J
Explanation:
(a)
To find the specific heat capacity, you need to use the following equation:
Q = mcΔT
In this formula,
-----> Q = heat energy (J)
-----> m = mass (g)
-----> c = specific heat capacity (J/g°K)
-----> ΔT = change in temperature (K)
You can plug the given values into the equations and simplify to find the missing value.
Q = 32 J c = ? J/g°K
m = 4.0 g ΔT = 40 K
Q = mcΔT <----- Equation
32 J = (4.0 g) x c x (40 K) <----- Insert variables
32 J = (160) x c <----- Multiply 4.0 and 40
0.2 = c <----- Divide both sides by 160
(b)
To find the energy of the same sample, you can use the same equation. This time, you know the specific heat capacity, have a different change in temperature, and are solving for energy (Q).
Q = ? J c = 0.2 J/g°K
m = 4.0 g ΔT = 344 K - 314 K = 30 K
Q = mcΔT <----- Given equation
Q = (4.0 g)(0.2 J/g°K)(30 K) <----- Insert values
Q = 24 <----- Multiply
