Final answer:
The correct equation for the reduction of cesium chloride by elemental calcium is 'Ca + 2CsCl → 2Cs + CaCl2', where calcium displaces cesium, forming cesium metal and calcium chloride.
Step-by-step explanation:
The correct balanced equation for the reduction of cesium chloride by elemental calcium at high temperature is given by option (c):
Ca + 2CsCl → 2Cs + CaCl2
In this reaction, elemental calcium acts as a reducing agent and reduces cesium chloride to cesium metal. This can be considered as a single displacement reaction where calcium displaces cesium from its chloride salt, resulting in the formation of calcium chloride.