Your post appears unclear. As read, you seemingly suggest that both your iPad and iPhone are plugged-in to different USB-C ports of your new charger (Power Adapter) - but then contradict this with a statement that they are connected to separate chargers...
Assuming that your iPad and iPhone are connected to two different USB-C charging ports of the same physical Power Adapter, to understand why your devices both chime when connecting the second device, you first need to understand a little about how your USB-C Power Adapter works. This has nothing at all to do with the Power Adapter being able to supply adequate power.
Good quality USB-C Power Adapters support USB PD (Power Delivery). USB PD uses an active protocol with which to mutually negotiate a power profile - this profile defining both the voltage and supply current available for charging the connected device. The Power Adapter, connecting USB-C cable (which also contains electronic components) and the device being charged (in this instance being your iPad and iPhone) all participate in this active negotiation. When a common power profile has been selected, only then is power supplied to the connected device; your iPad or iPhone will chime when power is available for charging. The negotiation process is fast - typically a few tenths of a second and appears to be near instantaneous.
Many USB PD Power Adapters, despite having multiple USB-C connections, can only support a single power profile. When multiple devices are connected to this type of Power Adapter, the negotiation process runs for each connected device - each device potentially supporting different power profiles. The Power Adapter will select the highest power profile supported by all connected devices - and then supply the same voltage to all outputs; only then will the connected devices chime to indicate that charging power is available.
You should note that any disturbance or change to the devices will cause this type of Power Adapter to interrupt power to all USB-C outputs while the USB PD negotiation process re-runs. As such, connecting or disconnecting a device during charging will potentially cause all connected device to chime - this being the behaviour that I believe you are observing. If so, this behaviour is entirely normal and expected.