CCD size and low light sensitivity

There is something aboutt CCDs that I need to understand. It is
in conjunction with Digital Cameras. Photography people who
are mostly familiar with film based may not be so with CCD
so let me ask the questions here.

One CCD has 5 megapixel capability with 9mm size.

Another CCD has 2 megapixel capability with 12.5mm size.

Using F2.8 lens. Is there evidence that the CCD with bigger
size sensor (that I presume in the 2megapixel/12.5mm combo)
is more sensitive to light such that using the same target at night
such as indoor object with flourescent light, it should produce
a brighter image using the same shutter speed of 1/30 secs and
iso rating for example??

Thanks.

Matt