**Answer:**

563712.04903 Pa

**Explanation:**

m = Mass of material = 3.3 kg

r = Radius of sphere = 1.25 m

v = Volume of balloon =

M = Molar mass of helium =

= Density of surrounding air =

R = Gas constant = 8.314 J/mol K

T = Temperature = 345 K

Weight of balloon + Weight of helium = Weight of air displaced

Mass of helium is 6.4356 kg

Moles of helium

Ideal gas law

**The absolute pressure of the Helium gas is 563712.04903 Pa**

**Answer:**

Object 1 had faster-moving particles

**Explanation:**

.....

**Answer:**

C) 413 Hz

**Explanation:**

For destructive interference, the path difference ΔL = (n + 1/2)λ where ΔL = L₂ - L₁ where L₁ = person's distance from one speaker (the closer one) = 5.0m and L₂ = person's distance from other speaker (the farther one) = 6.2 m and λ = wavelength = v/f where v = speed of sound = 330 m/s and f = frequency

So, ΔL = (n + 1/2)λ

L₂ - L₁ = (n + 1/2)v/f

f = (n + 1/2)v/(L₂ - L₁)

At the second lowest frequency that results in destructive interference at the point where the person is standing, n = 1.

So,

f = (1 + 1/2)v/(L₂ - L₁)

f = 3v/2(L₂ - L₁)

Substituting the values of the variables into the equation, we have

f = 3v/2(L₂ - L₁)

f = 3(330 m/s)/2(6.2 m - 5.0 m)

f = 3(330 m/s)/2(1.2 m)

f = 990 m/s ÷ 2.4 m)

f = 412.5 Hz

f ≅ 413 Hz

Faster-than-light <span>communication and travel refer to the propagation of information or matter faster than the </span>speed<span> of light.</span>

I think that the answer is B.