Pressure is determined as force per unit area of surface. The SI unit of pressure, Pascal is as shown below: 1Pa = 1N m-2 If mass of air at sea level is 1034 g cm-2 , calculate the pressure in Pascal.

The correct option is 1.01332 x 10^5 Pa.

Step-by-Step Explanation:

Pressure is defined as the force acting perpendicularly per unit area of a surface:
$$\mathrm{Pressure}\left(P\right)=\frac{\mathrm{Force}\left(F\right)}{\mathrm{Area}\left(A\right)}$$
Here, the force exerted by the air is due to its weight under gravity, which is given by:
$$F=m\times g$$
where $m$ is the mass of the air and $g$ is the acceleration due to gravity. Thus, the pressure can be expressed as:
$$P=\frac{m\times g}{A}=\left(\frac{m}{A}\right)\times g$$

Step 1: Convert mass per unit area to SI units (kg m⁻²)
We are given the mass of air per unit area:
$$\frac{m}{A}=1034 {\text{g cm}}^{-2}$$
To convert grams (g) to kilograms (kg):
$$1 \text{g}={10}^{-3} \text{kg}$$
To convert square centimeters (cm²) to square meters (m²):
$$1 {\text{cm}}^2={({10}^{-2} \text{m})}^2={10}^{-4} {\text{m}}^2$$
Now, substitute these conversion factors into the expression for mass per unit area:
$$\frac{m}{A}=\frac{1034\times {10}^{-3} \text{kg}}{{10}^{-4} {\text{m}}^2}$$
$$\frac{m}{A}=1.034\times {10}^4 {\text{kg m}}^{-2}$$

Step 2: Calculate the Pressure in Pascal
Using the standard acceleration due to gravity, $g=9.8 {\text{m s}}^{-2}$:
$$P=(1.034\times {10}^4 {\text{kg m}}^{-2})\times (9.8 {\text{m s}}^{-2})$$
$$P=10.1332\times {10}^4 {\text{kg m}}^{-1}{\text{s}}^{-2}$$
Since $1 \text{Pa}=1 \text{N}{\text{ m}}^{-2}=1 {\text{kg m}}^{-1}{\text{ s}}^{-2}$, we have:
$$P=1.01332\times {10}^5 \text{Pa}$$