Calculate the mass of copper if 2653.8 J of copper is cooled from 155 oC to 23 oC.
The specific heat of copper is 0.385 J/g*oC.

The answer to your question is   m = 52.22 g

Explanation:

Data

mass of Cu = ?

Energy = 2653.8 J

temperature 1 = 155°C

temperature 2 = 23°C

Specific heat = 0.385 J/g°C

To calculate the mass of Copper, use the formula of specific heat and solve it for mass.

Formula

                      Q = mC(Temperature 2 - Temperature 1)

Solve for m

                       m = Q / C (Temperature 2 - Temperature 1)

Substitution

                        m = 2653.8 / 0.385(23 - 155)

Simplification

                        m = 2653.8 / 0.385(132)

                        m = 2653.8 / 50.82

Result

                        m = 52.22 g

The mass of the copper is 53.22 grams

Explanation:

Step 1: Data given

Energy = 2653.8 J

Initial temperature = 155 °C

Final temperature = 23°C

Specific heat of copper = 0.385 J/ g°C

Step 2: Calculate mass of copper

Q = m*c*ΔT

⇒ with Q = the energy = 2653.8 J

⇒ with m = the mass of copper = TO BE DETERMINED

⇒ with c= The specific heat of copper = 0.385 J/g°C

⇒ΔT = The difference in temperature = T2 - T1 = 23 - 155 = -132°C

2653.8 J = m * 0.385 J/g°C * 132 °C

m = 2653.8 / (0.385*132)

mass of copper = 52.22 grams

The mass of the copper is 53.22 grams