Explanation The value of Rydberg’s constant is 1.097 × 10 7 m − 1 . The integer value of n 1 for Paschen series is 3 . The integer value of n 2 for Paschen series lies in the range of 4 → ∞ . Formula to calculate the wavelength of any spectral series is, 1 λ = R ( 1 n 1 2 − 1 n 2 2 ) (1) Here, λ is wavelength of spectral series. R is Rydberg’s constant. n 1 and n 2 are integer values for spectral series, which satisfies the condition of n 1 > n 2 . The equation (1) indicates that for the smaller value of n 2 the values of wavelength of Paschen spectral series is highest. Therefore, the value of n 2 for the wavelength of the longest-wavelength lines of the Paschen series is 4 . Substitute 1.097 × 10 7 m − 1 for R 4 for n 2 and 3 for n 1 to find λ . 1 λ = 1.097 × 10 7 m − 1 × ( 1 3 2 − 1 4 2 ) 1 λ = 1.097 × 10 7 m − 1 × ( 1 9 − 1 16 ) 1 λ = 1

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Chapter 31, Problem 9PCE

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The wavelength of the longest-wavelength lines of the Paschen series.

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Chapter 31, Problem 8PCE

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Chapter 31 Solutions

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The wavelength of the longest-wavelength lines of the Paschen series.

Solution Summary: The author explains that the value of Rydberg's constant is 1.097times 107nm.

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The wavelength of the longest-wavelength lines of the Paschen series.

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