The pressure of the earth's atmosphere at sea level is 14.7 lb/in2. What is the pressure when expressed in g/m2? (2.54 cm = 1 in. and 2.205 lb = 1 kg)

14.7 lb / in² = 10333018.166 g / m²

Given from the question;

pressure = 14.7lb/in²

To convert from lb / in² to g / m²

Note;

2.54 cm = 1 in       (i)

But;

100 cm = 1m

=> 2.54cm = 2.54 cm x 1 m / 100 cm = 0.0254m

=>2.54cm = 0.0254m

Substitute 2.54cm = 0.0254m into equation(i)

=> 0.0254m = 1 in

Note also;

2.205 lb = 1 kg            (ii)

But;

1kg = 1000g

Substitute 1kg = 1000g into equation (ii)

=> 2.205 lb = 1000g   (iii)

From equation(iii);

if, 2.205 lb = 1000g

then, 1 lb = 1 lb x 1000 g / 2.205 lb = 453.5g

=> 1 lb = 453.5 g

Now let's convert 14.7 lb/in² to g / m²;

=> 14.7 lb / in² could be written as 14.7 x 1 lb / (1 in x 1 in)

i.e

=> 14.7 lb / in² = 14.7 x 1 lb / (1 in x 1 in)     (iv)

Substitute the values of 1 lb = 453.5g and 1 in = 0.0254m into equation(iv)

=> 14.7 lb / in² = 14.7 x 453.5g / (0.0254m x 0.0254m)

=> 14.7 lb / in² = 6666.45 g / (0.00064516m²)

=> 14.7 lb / in² = 10333018.166 g / m²

Therefore, 14.7 lb / in² = 10333018.166 g / m²

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