The total distance between the lower fixed point and the upper fiixed point of a thermometer is 12 cm. when this thermometer is palced in a vessel containing 500g water the reading on the scale was 3 cm.. When 10 lead shots at 100^(@)C were dropped into this container the mercury level int he thermometer rose to 31 mm. find the average heat capacity o the lead shots. (you may leave the answer as a fraction). Specific heat capacity of water =4.2 kJ kg^(-1)" "K^(-1)

The total distance between the lower fixed point and the upper fiixed

1.	The total distance between the lower fixed point and the upper fiixed point of a thermometer is 12 cm. when this thermometer is palced in a vessel containing 500g water the reading on the scale was 3 cm.. When 10 lead shots at 100^(@)C were dropped into this container the mercury level int he thermometer rose to 31 mm. find the average heat capacity o the lead shots. (you may leave the answer as a fraction). Specific heat capacity of water =4.2 kJ kg^(-1)" "K^(-1)
Answer» Solution :12 CM`=100^(@)C` 3cm`=x^(@)C` 31mm`=y^(@)C` Find x and y. Rise in temperature of water=1nm=`(y-x)K` Heat gained/lost, `Q=mxxsxxDeltatheta` Heat capacity `H=mxxs` `therefore` Heat lsot by theh hot body `=HxxDeltatheta_("lead shots")` `=H(100-y)` Calculate the heat gained by the cold water. LET this be Q. Find, `H=(Q)/(100-y)` If N is the numbe of leads shots. Average heat capacity `=(Q)/(N(100-y))`