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Please help me with my homework! please show me howto solve this problem. I will

ID: 1722344 • Letter: P

Question

Please help me with my homework! please show me howto solve this problem.
I will give proper respect as soon as possible. PLEEEASE helpme!!! #5.16 What is the radius of the n = 1 orbit in theO7+ ion? What are the wavelength and energy of photons in the Lymanalpha line of O7+ ? Answer is =1.91nm, E=650eV,r=6.64x10-12m Please help me with my homework! please show me howto solve this problem.
I will give proper respect as soon as possible. PLEEEASE helpme!!! #5.16 What is the radius of the n = 1 orbit in theO7+ ion? What are the wavelength and energy of photons in the Lymanalpha line of O7+ ? Answer is =1.91nm, E=650eV,r=6.64x10-12m Answer is =1.91nm, E=650eV,r=6.64x10-12m

Explanation / Answer

Given :     n = 1    Atomic no ( Z ) = 8    Plank's constant ( h ) = 6.625 * 10-34J.s    charge of the electron ( e ) = 1.6 *10-19 C    Boltzmen constant ( K ) = 1.38*10-23 /mol Mass of the electron ( m ) = 9.1 * 10-31kg     radius of the nth orbit     rn = n2 h2/ 42 K e2 m         = -------- m For Lyman series n1 = 1     n2 = 2,3,4.... Rydberg constant ( R ) = 1.097 * 107m-1 Wavelength 1 / ( ) = R (1/n22 - 1/n21 ) = -------- m    Energy ( E ) = -22K2Z2e4m /n2h2                      = ------ eV Solve it I hope it helps you