Question

Determine: The amount of heat lost in J by the copper block, as well as the amount of heat gained by the water, which has a specific heat of 4.18 J/g(K)

Answer 1

Amount of heat lost by the copper block = - 3319.59 J.

Amount of heat gained by the water = 3260.4 J.

Step-by-step explanation:

What is given?

Mass of water = 150.0 g.

Initial temperature of water = 25.1 °C

Mass of copper = 123.0 g.

Initial temperature of copper = 100.4 °C.

Final temperature (general) = 30.3 °C.

Specific heat of water = 4.18 J/gK.

Specific heat of copper = 0.385 J/gK.

Step-by-step solution:

First, let's find the amount of heat lost in J of the copper block.

The formula of heat is the following:

`Q=m\cdot c\cdot\Delta T.`

Where Q is heat, m is the mass, c is the specific heat, and ΔT is the change of temperature. Remember that ΔT is: ΔT = Final temperature - Initial temperature.

*The specific heat has the units of J/gK and J/g°C but both are numerically equal.

Now, let's replace the given data of the copper block in the formula, like this:

`Q=123.0\text{ g}\cdot0.385\frac{J}{g\text{ \degree C}}\cdot(30.3-100.4)\degree C=-3319.59\text{ J.}`

The amount of heat lost by the copper block is -3319.59 J.

Now, let's calculate the amount of heat gained by water following the same process that we did before but with the data that we have of water, like this:

`Q=150.0\text{ g}\cdot4.18\frac{J}{g\text{ \degree C}}\cdot(30.3-25.1)\degree C=3260.4\text{ J.}`

The amount of heat gained by the water is 3260.4 J.