Which of the following represents the highest pressure?

Options

A. One atmosphere
B. Five pounds per square inch
C. One mm of Hg
D. One hundred Pascal

Explanation

To determine which of the given options represents the highest pressure, we will analyze each option step by step.

### Step 1: Convert 1 Atmosphere to Pascals
1 atmosphere (atm) is a standard unit of pressure. We know that:
- 1 atm = 760 mm of Hg
- 1 atm = 1.01 × 10^5 Pascals (Pa)

### Step 2: Analyze the Second Option (5 pounds per square inch)
The second option is given as 5 pounds per square inch (psi). However, we need to convert this into a standard unit of pressure (Pascals) to compare it with the other options.
- 1 psi = 6894.76 Pascals
- Therefore, 5 psi = 5 × 6894.76 Pa = 34473.8 Pa

### Step 3: Convert 1 mm of Hg to Pascals
The third option is 1 mm of Hg. We can convert this to Pascals using the conversion factor:
- 1 mm of Hg = 1.01 × 10^5 Pa / 760
- Calculating this gives us:
\[ 1 \text{ mm of Hg} = \frac{1.01 \times 10^5}{760} \approx 133.322 \text{ Pa} \]

### Step 4: Analyze the Fourth Option (100 Pascals)
The fourth option is simply 100 Pascals.

### Step 5: Compare All Values
Now we have the following values for pressure in Pascals:
- Option A (1 atm) = 1.01 × 10^5 Pa = 101000 Pa
- Option B (5 psi) = 34473.8 Pa
- Option C (1 mm of Hg) ≈ 133.322 Pa
- Option D (100 Pa) = 100 Pa

### Conclusion
Comparing all the values:
- 1 atm (101000 Pa) > 5 psi (34473.8 Pa) > 1 mm of Hg (133.322 Pa) > 100 Pa

Thus, the option that represents the highest pressure is **Option A: 1 atmosphere**.

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