Q: My iPhone 5 will not cnnect to hotel wifi, iPad will and wife's identical iPhone will?

Hello, PolarB. 

Thank you for visiting Apple Support Communities. 

Most hotel Wi-Fi networks usually require a login or some sort of authentication to verify that you are a guest.  I would recommend forgetting the network and add it again.  The first article below will explain this process as well as provide additional troubleshooting steps. 

iOS: Troubleshooting Wi-Fi networks and connections

http://support.apple.com/kb/ts1398

iOS: Understanding subscription Wi-Fi networks

http://support.apple.com/kb/HT3867

Cheers,

Jason H.