A 35.8f sample of cadminum metal was melted by an electric heater 4.66 J/s of heat. If it took 6.92 min from the time the metal began to melt until it was completely melted, what is the heat of fusion per mole of cadminum?
power*time=heat=mass*heatfusion
where mass is in moles of cd.
heat fusion= 4.66*(6.92*60)/molesCd
To find the heat of fusion per mole of cadmium, we need to use the given information and apply some formulae.
First, let's convert the time from minutes to seconds:
Time = 6.92 minutes * 60 seconds/minute = 415.2 seconds
Next, we need to determine the total heat applied to the cadmium during the melting process. We can calculate the total heat by multiplying the power of the electric heater by the time taken to melt the cadmium:
Heat = Power * Time = 4.66 J/s * 415.2 s = 1931.232 J
Now, we need to calculate the moles of cadmium in the sample. To do this, we need the molar mass of cadmium.
The molar mass of cadmium (Cd) is approximately 112.41 g/mol.
Using this information, we can convert the given sample mass of 35.8 g into moles:
Moles = Mass / Molar mass = 35.8 g / 112.41 g/mol = 0.3188 mol
Finally, we can calculate the heat of fusion per mole of cadmium. The heat of fusion is the amount of heat required to melt one mole of a substance:
Heat of fusion per mole = Total heat / Moles = 1931.232 J / 0.3188 mol ≈ 6059.8 J/mol
Therefore, the heat of fusion per mole of cadmium is approximately 6059.8 J/mol.