So we’re wondering if you could hear sounds in a nebula. We’ve figured out that sounds, which are waves of pressure, can be detected by humans if they are larger than 20 micro-pascals (μPa).
So what is the pressure in a nebula? The Clear Science staff looked it up, and found that a cold, dark nebula (like the Horsehead Nebula) will have at most at its core 100,000 particles per cubic centimeter, which is a box about the size of the end of your pinkie finger. Also, the temperature will be about 10 kelvins, or -263 °C.
Using a little math, we can figure out about what pressure this would mean. Don’t panic! This is using the ideal gas equation, PV=nRT, and the level of difficulty is about the same as in a high school Chemistry I class.
- The quantity n/V is a concentration of particles, so we plug in the 100,000 part. per cm^3 we looked up
- We use Avogadro’s number to convert the particles to moles, because problems are easier to do in moles
- R is the gas constant, which we look up: 8.314 J/mol/K
- T is the temp, 10 kelvins
- And the last two terms we add are unit conversions: 1: a joule is a newton meter, and 2: we convert to make sure all lengths are in meters and not centimeters
The answer we get is 14 pico pascals or pPa. This is much lower than 20 μPa, so no, there is not enough gas density in nebulae to support sound waves! (At least not the kind of waves we call “sound.”)