Ping is meant to be sent only from server to client, and browser should answer as soon as possible with Pong OpCode, automatically. So you have not to worry about that on higher level.
Although that not all browsers support standard as they suppose to, they might have some differences in implementing such mechanism, and it might even means there is no Pong response functionality. But personally I am using Ping / Pong, and never saw client that does not implement this type of OpCode and automatic response on low level client side implementation.