Q9.91CP In a future hydrogen-fuel econom... [FREE SOLUTION]

Chapter 9: Q9.91CP (page 376)

In a future hydrogen-fuel economy, the cheapest sourceof $H_{2}$ willcertainlybe water. It takes467kJ to produce one mol of H atoms from water. What is the frequency, wavelength and minimum energy of a photon that can free an H atom from water?

Short Answer

Expert verified

$1.17037 脳 10^{15} Hz$ frequency, $256.3 nm$ wavelength and $7.755 脳 10^{- 19} J$ minimum energy of a photon that can free an H atom from water.

Step by step solution

calculation ofminimum energy

One mole of any substance is equal to the Avogadro number.

To calculate the minimum energy of a photon that can free an H atom from water, the heat produced in the formation of H atoms from water is divided by the Avogadro number.

$\begin{array}{l} E = \frac{螖贬}{N_{A}} = \frac{467 kJ}{6.022 脳 10^{23} mol} \\ 鈥夆赌夆赌� = \frac{46700 J}{6.022 脳 10^{23} mol} = 7.755 脳 10^{- 19} J \end{array}$

So, the minimum energy of a photon that is required to free an H atom from water is . $7.755 脳 10^{- 19} J$

calculation of frequency

To calculate the frequency of a photon we use the Einstein-plank relation-

$E = 丑蠀$

Where E is calledthe energy of the photon, h is calledplank鈥檚 constant, andiscalledfrequency.

$蠀 = \frac{E}{h}$

The value of Plank鈥檚 constant is $6.626 脳 10^{- 34} J . s$

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In a future hydrogen-fuel economy, the cheapest sourceof $H_{2}$ willcertainlybe water. It takes467kJ to produce one mol of H atoms from water. What is the frequency, wavelength and minimum energy of a photon that can free an H atom from water?

Short Answer

Step by step solution

calculation ofminimum energy

calculation of frequency

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91影视

In a future hydrogen-fuel economy, the cheapest sourceof H2willcertainlybe water. It takes467kJ to produce one mol of H atoms from water. What is the frequency, wavelength and minimum energy of a photon that can free an H atom from water?

Short Answer

Step by step solution

calculation ofminimum energy

calculation of frequency

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Organic Chemistry

Making Measurements

The Earths Atmosphere

Physical Chemistry

Kinetics

Nuclear Chemistry

Study anywhere. Anytime. Across all devices.

In a future hydrogen-fuel economy, the cheapest sourceof $H_{2}$ willcertainlybe water. It takes467kJ to produce one mol of H atoms from water. What is the frequency, wavelength and minimum energy of a photon that can free an H atom from water?