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

Solution

Pressure is the force (i.e. wt.) acting per unit area.
But weight = mg

therefore space space space Pressure space equals space Weight over Area space equals space fraction numerator 1034 straight g space cross times space 9.8 space ms to the power of negative 2 end exponent over denominator cm squared end fraction equals space fraction numerator 1034 straight g space cross times space 9.8 space ms to the power of negative 2 end exponent over denominator cm squared end fraction cross times fraction numerator 1 space kg over denominator 1000 space straight g end fraction space space space space space cross times space space space fraction numerator 100 space cm space cross times space 100 space cm over denominator 1 straight m space cross times space 1 straight m end fraction cross times fraction numerator 1 straight N over denominator kg space ms to the power of negative 2 end exponent end fraction cross times fraction numerator 1 space Pa over denominator 1 space Nm to the power of negative 2 end exponent end fraction space equals space 1.01332 space cross times space 10 to the power of 5 space Pa

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