Question

Tired of studying thermodynamics, you decide that you will abandon chemical engineering and get rich quick by manufacturing diamond from graphite.

It is known that the difference between the Gibbs free energy for diamond and graphite at normal

room temperatures (25° C) is 2866 J/mol, i.e.,:

g (25°C, 1 atm) = gdiamond – ggraphite = 2866 J/mol

Also, the density data of diamond and graphite at 25°C are also known as such:

diamond = 3.51 g/cm3

graphite = 2.26 g/cm3

Using this information, estimate the pressure you would have to exert in order to have diamond

and graphite be in equilibrium at room temperature.

Step 1

The fundamental equation for Gibb’s free energy change is given by equation (1). Since, the temperature remains constant in the process of conversion of Carbon (graphite) (initial state) to Carbon (diamond) (final state), therefore, equation (1) can be reduced to equation (2).

Let delta*G _{1}* be the molar Gibb’s free energy change taking place when Carbon (graphite) converts to Carbon (diamond), which is 2866 J/mol at normal room temperatures (25° C). Let delta

Equation (3) can be deduced from equation (2) which on further simplification can be reduced to equation (4). Here, *P _{2}* is the pressure that is exerted to bring graphite and diamond in equilibrium at room temperature,

Step 2

Change in volume is calculated using equation (5) where* ρd* is density of diamond (3.51 g/cm3), *ρg* is density of graphite (2.26 g/cm3) and molar mass of carbon is 12 g/mol. Substitute the known values in...

Tagged in

Q: Given the figure below that represents a solution to the species mass conservation equation for a gi...

A: The graph provided represents a solution to the species mass conservation equation for a given domai...

Q: 3.14. Limestone (calcium carbonate) particles are stored in 50-L bags. The void fraction of the part...

A: Part (a)The density of the solid limestone is calculated from its given specific gravity as:

Q: The density of gold is 19.3 g/cm^3 . A 6. 4 mg piece of gold is hammered into a square that is 8.6x...

A: Part (a):The thickness of gold which is hammered into square is given in centimeters as: 8.6*10-6 cm...

Q:

A: Dear student, we provide answers to three parts in a question. So, we are providing answers to first...

Q: A petrochemical storage tank is cylindrical in shape with a diameter of 6 m and a height of 10 m. Th...

A: Calculate the characteristic length of the cylinder as shown below:

Q: .19 A liquid storage facility can be modeled by where y is the liquid level (m) and u is an inlet fl...

A: Part (a):Since all the derivatives are zero and y=u=0 at the nominal steady state, hence taking Lapl...

Q: Each side of conversion equal sighns is one drag item plz help me solve this with three steps bc i h...

A: Given that the volume of a copper piece is 560 L, the mass of copper in grams is to be calculated by...

Q: Calculate the rate of heat loss by radiation from the upper surface of the electronic chip of Proble...

A: From the given data: TS = Surface temperature = 75⸰C = 348 KTsur = surrounding temperature = 25⸰C = ...

Q: Water in a tank is pressurized by air while a gauge connected to the tank reads a pressure of 90 kPa...

A: Using Pascal’s law and Hydrostatic law of pressure the differential height h2 is calculated.Hydrosta...

Sorry about that. What wasn’t helpful?