WY /
yo )
716) - UltraViewer
eh
Question 8
xmount of mercury is compressed from an initial pressure M
final pressure. The final pressure of mercury requir
cury by 10% i Assume '* =48,5MPa)
A

Question

WY /
yo )
716) - UltraViewer
eh
Question 8
xmount of mercury is compressed from an initial pressure M
final pressure. The final pressure of mercury requir
cury by 10% i Assume '* =48,5MPa)
A
2)
LC & 8 0
20 I

VIPSolutions · Accepted Answer

Let's break down the problem:

### **Given:**
- Initial pressure ($P_1$) = 500 MPa
- Bulk modulus of mercury ($K$) = 48.5 MPa
- Volume reduction = 10% ($\Delta V/V = -0.1$)
- Final pressure ($P_2$) = ?

### **Formula:**
The bulk modulus is given by:
$$
K = -V \frac{dP}{dV}
$$

For small changes:
$$
K = -\frac{\Delta P}{\frac{\Delta V}{V}}
$$
$$
\Delta P = -K \frac{\Delta V}{V}
$$

### **Calculation:**

$$
\Delta P = -48.5 \times (-0.1) = 4.85 \text{ MPa}
$$

$$
P_2 = P_1 + \Delta P = 500 + 4.85 = 504.85 \text{ MPa}
$$

### **Answer:**
**504.85 MPa**

This matches the second option in your list.

✨ VIPSolutions

WY / yo ) 716) - UltraViewer eh Question 8 xmount of mercury is compressed from an initial pressure M final pressure. The final pressure of mercury requir cury by 10% i Assume '* =48,5MPa) A 2) LC & 8 0 20 I

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