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The Lagoon Nebula (Fig. E18.24) is a cloud of hydrogen gas located 3900 light-years from the earth. The cloud is about 45 light-years in diameter and glows because of its high temperature of 7500 K. (The gas is raised to this temperature by the stars that lie within the nebula.) The cloud is also very thin; there are only 80 molecules per cubic centimeter. (a) Find the gas pressure (in atmospheres) in the Lagoon Nebula. Compare it to the laboratory pressure referred to in Exercise 18.23. (b) Science-fiction films sometimes show starships being buffeted by turbulence as they fly through gas clouds such as the Lagoon Nebula. Does this seem realistic? Why or why not?

(Fig.E18.24)

Step by step solution

01

Calculating Gas Pressure

Applying the Ideal Gas Equation

$$\begin{gathered} PV=nRT \\ n=\frac{N}{N_A} \end{gathered}$$

Here,$N=80molecules,V={10}^{-6}{m}^{3}andT=7500K$

Putting this in the Ideal gas equation

$$\begin{gathered} PV=\left(\frac{N}{N_A}\right)RT \\ P=\left(\frac{N}{V}\right)\left(\frac{R}{N_A}\right)T \\ P=\left(\frac{80}{{10}^{-6}}\right)\left(\frac{8.3145}{6.022×{10}^{23}}\right)\left(7500\right) \\ P=8.28×{10}^{-12}Pa \end{gathered}$$

Gas pressure in Lagoon Nebula is$8.28×{10}^{-12}Pa$.

02

Step 2:

The gas exerted from the Lagoon nebula has very little force, and it doesn’t affect much as the lagoon nebula is a very satisfying low-pressure gas.

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