Is My Site Ready for Google AdSense?

Google will review the web site address you provide for compliance with the content policies of the AdSense program (see https://www.google.com/adsense/policies for more information about AdSense policies). It is not unusual for Google to reject web sites for noncompliance with content provisions of the AdSense policies; the prohibitions range from excessive advertising content through adult content, content about hacking, and content using excessive profanity.
It is permissible (and often done) to use one Google AdSense account across multiple web addresses. If you are maintaining half a dozen sites, it is easier to work with a single AdSense account than to keep up with statistics on multiple accounts.
This leads to the possible scenario of submitting one URL for acceptance into the program and eventually placing AdSense ads on noncompliant sites. You could probably get away with doing this for a while, but it is a bad idea. If you are caught, Google will most likely terminate your entire account. The best approach is to apply for a separate account for any web site with questionable content. That way, you are aboveboard.