Question

What is the specific heat capacity of a metal if it requires 173.4 J to change the temperature of 15.0 g of the metal from 25.00°C to 35.00°C?

a. 0.865 J/gºC
b. 323 J/g °C
c. 17.3 J/gºC
d. 11.6 J/gºC
e. 1.16 J/gºC

Answer 1

The specific heat capacity of the metal is approximately 1.16 J/g°C.

Step-by-step explanation:

To calculate the specific heat capacity of the metal, we can use the equation:

q = mcΔT

Where q is the heat absorbed by the metal, m is the mass of the metal, c is the specific heat capacity of the metal, and ΔT is the change in temperature.

From the given information, we have:

q = 173.4 J

m = 15.0 g

ΔT = 35.00°C - 25.00°C = 10.00°C

Plugging in these values into the equation, we get:

173.4 J = (15.0 g) * c * 10.00°C

Solving for c, we find:

c = 173.4 J / [(15.0 g) * 10.00°C]

c = 1.156 J/g°C

Therefore, the specific heat capacity of the metal is approximately 1.16 J/g°C.