1 mm Hg represents a pressure of

Options

A. `101.3"N m"^(-2)`
B. `1013"N m"^(-2)`
C. `133.3"N m"^(-2)`
D. `1333" N m"^(-2)`

Explanation

To determine what 1 mm Hg represents in terms of pressure, we can follow these steps:

### Step 1: Understand the Units of Pressure
1 mm Hg is a unit of pressure that is commonly used in various scientific and medical contexts. It is derived from the height of a column of mercury (Hg) that can support a certain pressure.

### Step 2: Know the Relationship Between Different Pressure Units
We need to establish the relationship between mm Hg and other pressure units. The most common conversion is between mm Hg and atmospheres (atm).

### Step 3: Conversion from Atmospheres to mm Hg
1 atm is defined as the pressure exerted by a column of mercury that is 760 mm high. Therefore, we can write:
\[ 1 \text{ atm} = 760 \text{ mm Hg} \]

### Step 4: Conversion from mm Hg to Newtons per Square Meter
We also know that:
\[ 1 \text{ atm} = 101325 \text{ N/m}^2 \]
Using this, we can find out how many Newtons per square meter correspond to 1 mm Hg.

### Step 5: Calculate the Value of 1 mm Hg in N/m²
To find the pressure in N/m² for 1 mm Hg, we can set up the following proportion:
\[ 1 \text{ mm Hg} = \frac{101325 \text{ N/m}^2}{760} \]

### Step 6: Perform the Calculation
Calculating the above expression gives:
\[ 1 \text{ mm Hg} \approx 133.3 \text{ N/m}^2 \]

### Final Answer
Therefore, 1 mm Hg represents a pressure of approximately **133.3 N/m²**.

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