Question 1.TE.13: Pressure is defined as force per unit area of the surface. T......

Pressure is defined as force per unit area of the surface. The SI unit of pressure, pascal is shown below :

1 Pa = 1 N\text{m}^{-2}

If mass of air at sea level is 1034 g \text{cm}^{-2}, calculate the pressure in pascal.

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Pressure is force (i.e., weight) acting per unit area

But weight = mg

∴ Pressure = Weight per unit area

= \frac{1034 \text{g}}{\text{cm}^2} \times 9.8 \text{ ms}^{-2}

= \frac{1034\ \text{g}}{\text{cm}^2} \times 9.8 \text{ ms}^{-2} \times \frac{1\ \text{kg}}{1000\ \text{g}}

\times\ \frac{100\ \text{cm}\ \times\ 100\ \text{cm}}{1\ \text{m}\ \times\ 1\ \text{m}} \times \frac{1\ \text{N}}{\text{kg m s}^{-2}} \times \frac{1\ \text{Pa}}{1\ \text{Nm}^{-2}}

= 1.01332 × \pmb{10^5} Pa

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