The helium may be treated as an ideal gas, so that
(p*V)/T =constant
where
p = pressure
V = volume
T = temperature.
Note that
7.5006 x 10⁻³ mm Hg = 1 Pa
1 L = 10⁻³ m³
Given:
At ground level,
p₁ = 752 mm Hg
= (752 mm Hg)/(7.5006 x 10⁻³ mm Hg/Pa)
= 1.0026 x 10⁵ Pa
V₁ = 9.47 x 10⁴ L = (9.47 x 10⁴ L)*(10⁻³ m³/L)
= 94.7 m³
T₁ = 27.8 °C = 27.8 + 273 K
= 300.8 K
At 36 km height,
P₂ = 73 mm Hg = 73/7.5006 x 10⁻³ Pa
= 9.7326 x 10³ Pa
T₂ = 235 K
If the volume at 36 km height is V₂, then
V₂ = (T₂/p₂)*(p₁/T₁)*V₁
= (235/9.7326 x 10³)*(1.0026 x 10⁵/300.8)*94.7
= 762.15 m³
Answer: 762.2 m³
<span>B. Compression causes upward vertical movement.</span>
Given the values to proceed to solve the exercise, we resort to the solution of the exercise through differential equations.
The problem can be modeled through a linear equation, in the form:
With the initial conditions as,
Where Q(t) is the charge.
<em>The general solution of a linear equation is given as:</em>
<em>
</em>
Applying this definiton in our differential equation we have that
To find b and a we use the first equation and find the roots:
Then we have
To find the values of the Constant we apply the initial conditions, then
And for the derivate:
We have a system of 2x2:
Solving we have:
The we can replace at the equation and we have that the Charge at any moment is given by,
If we obtain the derivate we find also the Current, then
Answer: it reduces dependence on fossil fuels. Disadvantage: it would emit pollution into the air.
If any of them do, it's not intentional, that is, it's not part of
the design of the communications satellite.
Communications satellites communicate with their customers
and their control centers on the ground using plain old UHF radio
and microwave signals.
