Question

infrared radiation falls in the wavelength region of 1.00×10-6 to 1.00×10-3 meters. what is the wavelength of infrared radiation that has an energy of 8.95×10-25 kj. wavelength = m.

Answer 1

The wavelength of infrared radiation with an energy of 8.95×10-25 kJ is approximately 0.221 × 10-6 m.

Step-by-step explanation:

The question asks for the wavelength of infrared radiation with an energy of 8.95×10-25 kJ. We can use the equation E = hc/λ to solve for the wavelength, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. Plugging in the given values, we get:

E = (6.626 × 10-34 J·s)(3.00 × 108 m/s) / λ

Solving for λ, we find:

λ ≈ (6.626 × 10-34 J·s)(3.00 × 108 m/s) / (8.95 × 10-25 kJ)

Converting kJ to J, we get:

λ ≈ (6.626 × 10-34 J·s)(3.00 × 108 m/s) / (8.95 × 10-28 J)

Simplifying, we get:

λ ≈ 0.221 × 10-6 m

Therefore, the wavelength of the infrared radiation with an energy of 8.95×10-25 kJ is approximately 0.221 × 10-6 m.