Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

data: cylinder volume = 2000 cc pressure after the throttle butterfly =…

Question

data:
cylinder volume = 2000 cc
pressure after the throttle butterfly = 0.5 bar
air temperature = 0 °c
mass 1 liter air = 1.29 g at 0 °c.
what is the mass of the intake air?

Explanation:

Step1: Convert cylinder volume

Cylinder volume \( V = 2000\ cc=2\ L\)

Step2: Use pressure - mass relation

Since pressure after throttle butterfly \(P = 0.5\ bar\) (assuming ideal gas law and density - pressure relation, mass is proportional to pressure).
Mass of air \(m=\frac{0.5}{1}\times1.29\times2\) (because at 1 bar, 1 L air has mass \(1.29\ g\) at \(0^{\circ}C\))

$$m = 1.29\ g/L\times2\ L\times0.5=1.29\ g$$

Answer:

\(1.29\)