Answer:
D
Step-by-step 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.
[tex]\boxed{F = ma}[/tex]
☆ 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
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.
