How do I find average kinetic energy if I don't have mass of the gas?

AI Thread Summary
To find the average kinetic energy of a gas without knowing its mass, it's crucial to identify the complete problem and relevant equations. The ideal gas law and kinetic theory can provide insights, as they relate temperature to kinetic energy. The discussion highlights the importance of understanding the context and specific parameters involved in the problem. Additionally, clarification on terms like "single atom pressure" may be necessary for a comprehensive understanding. Seeking guidance from educational resources can also aid in resolving such issues effectively.
Domuks
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Homework Statement
I have single atom pressure (p) and molecule concentration (n) and I need to find average kinetic energy (EKavg)
Relevant Equations
NA
So always in my problems i had mass (M) but now i don't and it seems impossible to solve this problem if I don't have mass I think i am missing something. I was looking for similar problems in my book and internet and didn't find any.
 
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What is "single atom pressure"? I am unfamiliar with the term.
 
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Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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