Final answer:
The finding that indicates an adverse effect of morphine via a PCA pump in the given options is a respiratory rate of 10 breaths per minute, which suggests opioid-induced hypoventilation leading to hypercapnia.
Step-by-step explanation:
A nurse is assessing a client who is receiving morphine via a PCA pump. Among the options given, the findings indicating an adverse effect of the medication include a respiratory rate of 10 breaths per minute, constricted pupils, and increased sedation. However, the most concerning adverse effect would be respiratory rate of 10 breaths per minute, as morphine and other opioids can cause hypoventilation which can lead to hypercapnia. Constricted pupils (miosis) and increased sedation are also known side effects of opioids, though blood pressure of 140/90 mm Hg is not typically an adverse effect directly attributed to morphine usage.