How many moles of ultra violet photons with a wavelength of 400nm does it take to equal the energy in 1.0 mole of infrared radiation of 1000nm?

Solve the equation using a an equation;

Energy(E)= Nhv= N1hc/I

Where N= no of photos;

H=planks constant ;c= velocity of light and  

I= wave length  

Thus here,

N1hc/I1=N2hc/I2

Or, N1/I1=N2/I2

Let N1=no of photon in 1.0 mol of ir radiation =6.028*10^23;I1=1000 nm

Then N2=?;  I2=400 nm  

Hence,

N2=N1*I2/I1

6.02*10^23*400/1000

=0.4*6.02*400/1000

=0.40 mol of uv

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d.) the average kinetic energy of the gas particles is greater in container b because its particles move faster.