What is the atmospheric pressure? a. 4.7 pounds per square inch b. 13.2 pounds per square inch c. 1.7 pounds per square inch d. 14.7 pounds per square inch

Question

asked Dec 24, 2022 87.2k views

2 Answers

Smihael · Answer 1 · 2022-12-28T14:35:50+0000

Answer:

D

Explanation:

The atmospheric pressure is about 101325Pa.

Pascal is a unit for pressure and since pressure can be defined as force/ area, the pressure can also be written as 101325 N/m².

1 m² ----- 101325 N

Pounds is a unit for mass, so let's relate force (Newtons) to mass.

$\boxed{F = ma}$

☆ where F= force, m= mass and a= acceleration due to gravity

Since the gravitational field strength is about 9.8 N/kg on earth, a= 9.8.

101325= m(9.8)

m= 10339 Kg (5 s.f.)

Since 1 kg is about 2.205 pounds,

m

= (10339 ×2.205) pounds

= 22797.495 pounds

= 22797 pound (5 s.f.)

1 m² ----- 22797 pounds

Now convert m² to in².

1 m² is about 1550 in², thus

1550 in² ----- 22797 pounds

1 in²----- 22797 ÷1550

1 in² ----- 14.708 pounds (5 s.f.)

1 in² ----- 14.7 pounds (3 s.f.)

Thus, 1 atm≈ 14.7 pounds per square inch.