Question

Calculations/Analysis:*Make sure to show all steps and all calculations for final submission. This is a list of formulasneeded.Q = mcATQ = ml,Q = mHHeating Curve/Phase Change Diagram:*Construct heating curve/phase change diagram for your material. Below is an example of whatit should look like. Don't forget to include values on your x and y axes.Phase Change DiagramPhase Change(Solid-LiquidPhase ChangeLiquid - GasGasVaporizationTemperature (°C)CondensationLiquidMeltingFreezingSolid 3Heat Energy

Answer 1

Given data:

Mass of copper is,

`m_c=1\text{ kg}`

Initial temperature of copper is,

`T_i=330^oC`

Final temperature of copper is,

`T_f=3300^oC`

Melting point of copper is,

`T_m=1085^oC`

Specific heat capacity of copper is,

`c=389\text{ J/kg}\cdot^oC`

Latent heat of fusion of copper is,

`L_f=206*10^3\text{ J/kg}`

Boiling point of copper is,

`T_b=2562^oC`

Latent heat of vaporization of copper is,

`\begin{gathered} L_v=322.1\text{ }*10^3\text{ J/mol} \\ L_v=5069.85\text{ }*10^3\text{ J/kg} \end{gathered}`

Now,

Formula of heat needed to change the temperature of copper,

`\Delta T=1085^oC-330^oC=755^oC`

Formula:

`Q=mc\Delta T`

Substitute known values in above equation,

`\begin{gathered} Q_1=1\text{ kg}*389\text{ J/kg}\cdot^oC*755^oC \\ Q_1=293695\text{ J} \end{gathered}`

Formula for heat needed to melt copper is,

`Q=mL_f`

Substitute known values in above equation,

`\begin{gathered} Q_2=1\text{ kg}**206*10^3\text{ J/kg} \\ Q_2=206000\text{ J} \end{gathered}`

Formula of heat needed to raise temperature of copper,

`\Delta T=2562^oC-1085^oC=1477^oC`

Formula:

`Q=mc\Delta T`

Substitute known values in above equation,

`\begin{gathered} Q_3=1\text{ kg}*389\text{ J/kg}\cdot^oC*^{}1477^oC \\ Q_3=574553\text{ J} \end{gathered}`

Now, formula of heat needed to vaporization of copper is as follows:

`Q_4=mL_v`

Substitiute known values in above equation,

`\begin{gathered} Q_4=1\text{ kg}*5069.85*10^3\text{ J/kg} \\ Q_4=5069850\text{ J} \end{gathered}`

Formula of heat needed to change the temperature of copper,

`\Delta T=^{}3300^oC-2562^oC=738^oC`

`Q_5=mc\Delta T`

Substitute known values in above equation,

`\begin{gathered} Q_5=1\text{ kg}*389\text{ J/kg}\cdot^oC*738^oC \\ Q_5=287082\text{ J} \end{gathered}`

Above diagram is the phase diagram of copper.