The weight of an empty three-liter canister is 370 g. What pressure will the canister exert on a horizontal
The weight of an empty three-liter canister is 370 g. What pressure will the canister exert on a horizontal surface if it is filled with gasoline? The bottom area is 400 cm2
m = 370 g = 0.37 kg.
Vb = 3 l = 0.003 m3.
ρb = 710 kg / m3.
g = 9.8 m / s2.
S = 400 cm2 = 0.04 m2.
P -?
Pressure P is the ratio of the force F to the area S on which this force acts: P = F / S.
The canister with gasoline acts by the force of its weight F on the surface of the table S. The weight of the canister with gasoline is expressed by the formula: F = m * g + mb * g = (m + mb) * g.
We express the mass of gasoline mb by the formula: mb = Vb * ρb, where Vb is the volume of gasoline, ρb is the density of gasoline.
P = (m + Vb * ρb) * g / S.
P = (0.37 kg + 0.003 m3 * 710 kg / m3) * 9.8 m / s2 / 0.04 m2 = 612.5 Pa.
Answer: the pressure of the canister with gasoline is P = 612.5 Pa.