Question

Label each variable with the correct units.

a) C = v x λ, E = h x c / λ

b) C = v x m, E = h x c / t

c) C = v x s, E = h x c / s

d) C = a x λ, E = h x c / λ

Answer 1

The variables in each equation are labeled with their correct units.

Step-by-step explanation:

In each equation, we have different variables representing different quantities. Let's analyze each equation:

1. a) C = v x λ, E = h x c / λ:
   The variable C represents a constant, so it does not have any units. The variable v represents velocity and its unit is meters per second (m/s) while λ represents wavelength and its unit is meters (m). The variable E represents energy and its unit is kilojoules per mole (kJ/mol). Finally, c represents the speed of light and its unit is meters per second (m/s).
   
2. b) C = v x m, E = h x c / t:
   The variable C represents a constant, so it does not have any units. The variable v represents velocity and its unit is meters per second (m/s) while m represents mass and its unit is kilograms (kg). The variable E represents energy and its unit is kilojoules per mole (kJ/mol). Finally, h represents Planck's constant and its unit is kilojoules per second multiplied by moles (kJ.s/mol).
3. c) C = v x s, E = h x c / s:
   The variable C represents a constant, so it does not have any units. The variable v represents velocity and its unit is meters per second (m/s) while s represents distance or displacement and its unit is meters (m). The variable E represents energy and its unit is kilojoules per mole (kJ/mol). Finally, h represents Planck's constant and its unit is kilojoules per second multiplied by moles (kJ.s/mol).
4. d) C = a x λ, E = h x c / λ:
   The variable C represents a constant, so it does not have any units. The variable a represents acceleration and its unit is meters per second squared (m/s²) while λ represents wavelength and its unit is meters (m). The variable E represents energy and its unit is kilojoules per mole (kJ/mol). Finally, h represents Planck's constant and its unit is kilojoules per second multiplied by moles (kJ.s/mol).