Spectroscopy and Electromagnetic Spectrum - AP Chemistry

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Question

What is the energy of a photon that has a wavelength of 540 nm?

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Answer

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

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Question

What transition would emit the longest wavelength of light?

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Answer

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

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Question

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

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Answer

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

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Question

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

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Answer

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

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Question

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

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Answer

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

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Question

What is the energy of a photon that has a wavelength of 540 nm?

Tap to reveal answer

Answer

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

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Question

What transition would emit the longest wavelength of light?

Tap to reveal answer

Answer

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

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Question

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

Tap to reveal answer

Answer

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

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Question

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

Tap to reveal answer

Answer

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

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Question

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

Tap to reveal answer

Answer

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

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Question

What is the energy of a photon that has a wavelength of 540 nm?

Tap to reveal answer

Answer

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

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Question

What transition would emit the longest wavelength of light?

Tap to reveal answer

Answer

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

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Question

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

Tap to reveal answer

Answer

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

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Question

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

Tap to reveal answer

Answer

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

← Didn't Know|Knew It →

Question

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

Tap to reveal answer

Answer

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

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Question

What is the energy of a photon that has a wavelength of 540 nm?

Tap to reveal answer

Answer

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

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Question

What transition would emit the longest wavelength of light?

Tap to reveal answer

Answer

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

← Didn't Know|Knew It →

Question

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

Tap to reveal answer

Answer

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

← Didn't Know|Knew It →

Question

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

Tap to reveal answer

Answer

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

← Didn't Know|Knew It →

Question

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

Tap to reveal answer

Answer

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

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Knew It

Spectroscopy and Electromagnetic Spectrum - AP Chemistry

What is the energy of a photon that has a wavelength of 540 nm?

; ;

What transition would emit the longest wavelength of light?

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

;

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

;

What is the energy of a photon that has a wavelength of 540 nm?

; ;

What transition would emit the longest wavelength of light?

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

;

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

;

What is the energy of a photon that has a wavelength of 540 nm?

; ;

What transition would emit the longest wavelength of light?

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

;

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

;

What is the energy of a photon that has a wavelength of 540 nm?

; ;

What transition would emit the longest wavelength of light?

Wavelength is inversely proportional to energy. Since the transition from n=4 to n=3 is the lowest energy transition, it would have the longest wavelength.

What photon wavelength can promote a transition from the n = 1 (ground state) to the n = 3 (excited state)?

;

A 3.0 eV light is shined on Gold ( Փ = 5.1 eV), silver (Փ =4.26 eV), Cesium (Փ = 2.1 eV), and Platinum (Փ = 6.35). If Փ is the work function of the metal, what metal would have electrons ejected?

The work function is the energy required to remove an electron from a metal. Only Cs metal has a work function less than the energy of the light.

A student has a Blue #1 dye with a molar absorptivity of 1.30 x 105 M-1 cm-1 at 631 nm. If the student runs this sample through a spectrophotometer and finds it has an absorption of 0.500 what is the dye’s molarity? Assume a path length of 1.0 cm.

;

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$

$E= $\frac{hc}{\lambda}$$ ; $E = $\frac{(6.626 , x , $10^{-34}$$ J\cdot s)(3.00, x, $10^{-8}$ m/s)}{5.40 , x , $10^{-7}$ m/s}$ ; $E = 3.68 , x , $10^{-19}$, J$

$\Delta E = (-2.18 , x , $10^{-18}$ , $J)($\frac{1}{3^2$}$ $-$\frac{1}{1^2$}$) = 1.94 , x, $10^{-18}$ , J$

$E =\frac{hc}{\lambda }$$ ; $\lambda =\frac{hc}{E}$ = $\frac{(6.626 , x , $10^{-34}$$, J \cdot s)(3.00, x, $10^8$ m/s)}{1.94 , x , $10^{-18}$ , J} = 1.02 , x, $10^{-7}$ m = 102 nm$

$A = \varepsilon bc$ ; $c =\frac{ A}{\varepsilon b}$= $\frac{0.500}{(1.30, x , $10^5$ $M^{-1}$$ $cm^{-1}$)(1.00 cm)} = 3.9 , x , $10^{-6}$ M$