Question

Calculate the specific heat of the cadmium metal (show your calculations): given: specific heat of water = 4.184 j/g-oc use the following equation: heat lost by cadmium metal = heat gained by water where q= heat = mass x specific heat x δt

Answer 1

To calculate the specific heat of cadmium, we use the formula q = mcΔT and rearrange it to solve for the specific heat (c). With the provided data, the specific heat of cadmium is found to be 0.231 J/g°C.

Step-by-step explanation:

To calculate the specific heat of cadmium, we use the equation q = mcΔT, where q is the heat absorbed or released, m is the mass, c is the specific heat, and ΔT is the change in temperature.

First, we need to identify the known quantities from the given information:

The change in temperature (ΔT) is the final temperature minus the initial temperature, which is 62.7°C - 24.0°C = 38.7°C.

To find the specific heat (c) of cadmium, we rearrange the equation to solve for c: c = q / (mΔT). Plugging in the values gives us: c = 134 J / (15.0 g × 38.7°C).

After calculating, we find that the specific heat of cadmium is:

c = 0.231 J/g°C

This value of specific heat indicates the amount of energy required to raise the temperature of one gram of cadmium by one degree Celsius. The number of significant figures in the result has been considered in line with the initial data provided.