Question

It was shown that 150 J was required to raise the temperature of 20.0 g of an unknown metal from 30°C to 50°C. Using a table of specific heat

capacities, identify the unknown metal.

Answer 1

0.375 J/g°C

Brass

Step-by-step explanation:

To identify the unknown metal, you first need to calculate the specific heat capacity using the following equation:

Q = mcΔT

In this equation,

-----> Q = heat energy (J)

-----> m = mass (g)

-----> c = specific heat capacity (J/g°C)

-----> ΔT = change in temperature (°C)

You can find the specific heat capacity by plugging the given values into the equation and simplifying to find "c".

Q = 150 J c = ? J/g°C

m = 20.0 g ΔT = 50°C - 30°C = 20°C

Q = mcΔT <----- Given equation

150 J = (20.0 g)c(20°C) <----- Insert values

150 J = (400 g°C)c <----- Multiply 20.0 g and 20°C

0.375 J/g°C = c <----- Divide both sides by 400 g°C

The specific heat capacity of the unknown metal is 0.375 J/g°C. According to my research, there is no metal with this exact specific heat capacity. However, the closest I could find was brass (0.377 J/g°C).