Titanium metal is used as a structural material in many high-tech applications such as in jet engines.
A) What is the specific heat of titanium in J/(g*degrees C) if it takes 89.7 J to raise the temperature of a 33.0 g block by 5.20 degree C ?
B)What is the molar heat capacity of titanium in J/(mol*degrees C) ?

Respuesta :

Answer:

a.[tex]Cp=0.523[/tex]

b.[tex]Cp=25.02\frac{J}{mol^\circ C}[/tex]

Explanation:

a. First, we solve the specific heat equation as follows:

[tex]Q=mCp\Delta T\\Cp=\frac{Q}{m\Delta T}\\Cp=\frac{89.7J}{33.0g\times5.20^\circ C}=0.523[/tex]

b. Then, we use the molar mass of titanium to determine its molar heat capacity, as follows:

[tex]Cp=0.523\frac{J}{g^\circ C}\times 47.87\frac{g}{mol}\\Cp=25.02\frac{J}{mol^\circ C}[/tex]