Find the energy (in joules) of the photon that is emitted when the electron in a hydrogen atom undergoes a transition from the n = 8 energy level to produce a line in the Paschen series (with principle quantum number of 3).

The energy is

Explanation:

           From the question we are told that

              The energy level of the photon is  

Generally the spatial frequency() of this transition  is mathematically represented as

Where R is the Rydberg constant  with a value of

            is the principle quantum number for Paschen series with value given a s

            is the wavelength of the photon

Now substituting values

Now the energy of this photon is mathematically represented as

where h is the Planck's constant with value  

          c is the speed of light with value

Substituting values  

  the grams     of oxygen gas   that can be produced     is 20.6   grams of o₂

calculation

2liclo₃ →   2 licl + 3 o₂

step 1:   find the moles of liclo₃

moles = mass÷ molar mass

from periodic table the molar mass of liclo₃ =6.9 +35.5   +(16 x3) =90.4 g/mol

moles=38.7 g÷90.4 g/mol=0.4281   moles

step 2:   use the   mole ratio   to calculate the moles of o2

from equation above, liclo₃: o₂   is 2: 3  

therefore the moles of   o₂=0.4281 moles x3/2 =0.6422   moles

step 3: find mass   of o₂

mass= moles x molar mass

from periodic table the   molar mass of   o₂ = 16 x2= 32 g/mol

mass=0.6422   moles   x   32 g/mol = 20.6 grams of o₂