Final answer:
The assessment that should be performed first on a client who experienced second and third degree burns of the arms and hands from a kitchen grease fire is the extensiveness and depth of the burns assessment.
Step-by-step explanation:
The assessment that should be performed first on a client who experienced second and third degree burns of the arms and hands from a kitchen grease fire is the C. Extensiveness and depth of the burns assessment. This assessment will help determine the severity of the burns and guide the treatment plan. By assessing the extensiveness and depth of the burns, the emergency nurse can prioritize the client's care and ensure appropriate interventions are implemented.