Final answer:
The nurse should give the client an ashtray and clearly state that the client must use it to maintain their smoking privileges, recognizing the importance of managing secondhand smoke risks indoors.
Step-by-step explanation:
The most effective way for the nurse to set limits for a newly admitted client who puts out cigarettes on the floor of the room designated for smoking is to: hand the client an ashtray and state that he must use it or he won't be allowed to smoke. This direct approach reinforces the expectations and consequences clearly. Furthermore, bearing in mind the health risks associated with secondhand smoke, a smoking policy that eliminates the potential risks for others within the facility is imperative for maintaining a healthy environment. Smoking indoors is not conducive to this, as secondhand smoke can linger for hours and contribute to various health issues even in nonsmokers.