A nebula−a region of the galaxy where new stars are forming−contains a very tenuous gas with 100 atoms/cm3. This gas is heated to 7500 K by ultraviolet radiation from nearby stars.
What is the pressure, in atm?
I'm having troubles converting between units. So far my work is:
pV=nRT so p=nRT/V
Use avogadro's number to find n=1.66x10^-22
p=(1.66x10^-22mol)(8.314J/mol K)(7500K)/(1x0^-4m^3)
p=1.035x10^-13Pa
This is where I start to get confused.
1atm=101325Pa
9.87x10^-6atm=1Pa
1.035x10^-13Pa=1.02x10^-18atm.
Is this correct or is there something wrong in the conversions between units?