Word to denote time to expiration
Solution 1:
Different words can be used for this. In terms of lifespan (itself such a word), longevity is often used: "the length or duration of life." In terms of products, we often use shelf life: "the term or period during which a stored commodity remains effective, useful, or suitable for consumption."
Solution 2:
You could use the word lifetime:
the duration of a thing's existence or usefulness.
"a plan to extend the lifetime of satellites"
"The password has a lifetime of 10 hours."
"The password's lifetime is 10 hours."
"The lifetime of the password is 10 hours."
Solution 3:
The password has a lifespan of 10 hours.
Lifespan — ODO
noun The length of time for which a person or animal lives or a thing functions
From IBM Knowledge Center
"The password lifespan specifies the period of time before the password of a user account expires."