If 89J of heat are added to a pure gold coin with a mass of 20g , what is its temperature change? Specific heat capacity of gold is 0.128 J/g∘C.

To find the temperature change, we can use the formula:

q = mcΔT

where q is the heat added (89 J), m is the mass of the gold coin (20 g), c is the specific heat capacity of gold (0.128 J/g°C), and ΔT is the temperature change.

Rearranging the formula to solve for ΔT, we get:

ΔT = q / (mc)

Plugging in the values, we get:

ΔT = 89 J / (20 g * 0.128 J/g°C)

ΔT ≈ 34.57°C

The temperature change is approximately 34.57°C.

To calculate the temperature change of the gold coin, we can use the formula:

Q = m * c * ΔT

Where:
Q = amount of heat energy
m = mass of the object
c = specific heat capacity
ΔT = change in temperature

In this case, we know that the amount of heat energy added (Q) is 89J, the mass of the coin (m) is 20g, and the specific heat capacity (c) of gold is 0.128 J/g∘C.

We can rearrange the formula to find ΔT:

ΔT = Q / (m * c)

Now let's substitute the values into the equation:

ΔT = 89J / (20g * 0.128 J/g∘C)

First, we need to convert grams to kilograms to match the units of the specific heat capacity, which are in J/g∘C:

ΔT = 89J / (0.02kg * 0.128 J/g∘C)

Simplifying further:

ΔT = 89J / (0.00256 kg∘C)

Now, divide 89J by 0.00256 kg∘C to calculate the temperature change:

ΔT ≈ 34766.40625 ∘C

So the temperature change of the gold coin when 89J of heat is added is approximately 34766.41 ∘C.

To calculate the temperature change of the gold coin, you can use the formula:

Q = m * c * ΔT

Where:
Q = heat energy added (in Joules)
m = mass of the object (in grams)
c = specific heat capacity (in J/g∘C)
ΔT = change in temperature (in ∘C)

In this case, we know that:
Q = 89 J
m = 20 g
c = 0.128 J/g∘C

Plugging in the given values into the formula, we can solve for ΔT:

89 = 20 * 0.128 * ΔT

Divide both sides of the equation by (20 * 0.128) to isolate ΔT:

ΔT = 89 / (20 * 0.128)

Calculating the equation, we find:

ΔT ≈ 35 °C

Therefore, the temperature change of the gold coin would be approximately 35 °C.