Both Panasonic ZS1 and Sony HX5 have 10.0 MP resolution sensors but Panasonic ZS1's sensor is 1/2.5-inch (5.744 x 4.308 mm ) and Sony HX5's sensor is 1/2.4-inch (6.104 x 4.578 mm ).
Since Sony HX5's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Panasonic ZS1.
Below you can see the ZS1 and HX5 sensor size comparison.
Sensor Size and Resolution Comparison image of Panasonic ZS1 and Sony HX5 Cameras
As seen above, Sony HX5 has a 1.1x Larger sensor area than Panasonic ZS1. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.