How Do You Calculate Collision Rates and Emission Wavelengths in Physics?

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To calculate collision rates, the equation ZW = NAp/(2πMRT)^1/2 can be used, where ZW represents the collision rate, N is the number of particles, A is the area, p is pressure, M is molar mass, R is the gas constant, and T is temperature. For the second question regarding emission wavelengths, the wavelength of the most intense electromagnetic radiation can be determined using Wien's displacement law, which states that the wavelength is inversely proportional to the temperature in Kelvin. The specific formula for this is λ_max = b/T, where λ_max is the wavelength, b is Wien's displacement constant, and T is the temperature in Kelvin. Understanding each variable is crucial for applying these equations effectively. These calculations are fundamental in physics for analyzing gas behavior and thermal radiation.
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Can you please set up the equations for me to help me solve these questions.:
1) How many collisions per second occur on a container wall with an area of
1.00 cm^2 for a collection of Ar particles at 1.10 atm and 290.1 K?
I think I should use this equation to answer this question:
ZW = NAp/(2πMRT )^1/2

2) Determine the wavelength of the most intense electromagnetic radiation
emitted from a furnace at 2500.1 °C.


Also, if you can explanes what do you mean by each variable that would be great.
 
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We don't just do homework for you sorry.
 
I just want the equations which I can use to solve the problems. I do not want the final answer
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

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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