if 89 j of heat is added to a gold coin with a mass of 12 g. what is the temprature change?

To determine the temperature change of the gold coin, you need to use the specific heat capacity equation:

Q = m * c * ΔT

Where:
Q is the heat energy absorbed or released,
m is the mass of the object,
c is the specific heat capacity, and
ΔT is the change in temperature.

First, you need to find the specific heat capacity of gold. The specific heat capacity of gold is approximately 0.129 J/g°C.

Now, let's calculate the temperature change:

Given:
Heat energy (Q) = 89 J
Mass (m) = 12 g
Specific heat capacity (c) = 0.129 J/g°C

Substituting the values into the equation:

89 J = 12 g * 0.129 J/g°C * ΔT

To find ΔT, divide both sides of the equation by 12 g * 0.129 J/g°C:

ΔT = 89 J / (12 g * 0.129 J/g°C)

Calculating:
ΔT = 89 J / 1.548 J/°C

ΔT ≈ 57.58°C

Therefore, the temperature change of the gold coin is approximately 57.58°C.

q = mass Au x specific heat Au x delta T.

Solve for delta T.