Earthquake in Nepal and Volcano in Chile: Are they somehow related?
The earthquake in Nepal is due to a collision between the Indian crustal block and the Eurasian tectonic plate. These plates are constantly rubbing against each other so much that the Indian plate is driven beneath Nepal at about 5 cm every year (5m every 100 years). The up/down movement is called Subduction. This subduction of the two plates causes inbuilt silent stress. When this stress becomes too hot to handle, it is let out as quakes.
Now the volcanic eruption in Chile lies in the Chiliean Andes region which is the movements of the two plates Nazca and the Antartic plates under the South American plate.
As for Chile, it is located where denser Nazca plate subducts below South American plate. This leads to partial melting of Nazca plate forming melt that resulted in Chilli volcanic eruption.
In sum, There is no connection. we all know that the Earth's crust is fragmented into what we call plates. These plates move all different rates on the Asthenosphere. The Nepal Earthquake is due stress build up over time due to collision between Eurasian plate and Indo-Australian plate. Imagine this. You take a piece of hard rock, and you apply a lot of pressure using some instrument. At some point, the rock will crack and break. During this "break" the machine will give a jerk. This is what happened in Nepal Earthquake.