Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial diamond of volume 1.00 x 10-6 m3 is formed under a pressure of 5.00 GPa. Find the change in its volume when it is released from the press and brought to atmospheric pressure. Take the diamond’s bulk modulus to be B = 194 GPa.

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Asked Dec 23, 2019
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Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial diamond of volume 1.00 x 10-6 m3 is formed under a pressure of 5.00 GPa. Find the change in its volume when it is released from the press and brought to atmospheric pressure. Take the diamond’s bulk modulus to be B = 194 GPa.

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Expert Answer

Step 1

Bulk modulus is given by

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AP (1) Δν/ν Here AVisthe changein volume, Visthe original volume and APis the changein pressure.

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Step 2

Change in pressure ...

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10° Pa |-1×10° Pa 1GPA AP = 5GPA = 4.99 x10° Pa

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