If the coin was really made of silver, what would the final temperature of the water be (in °C)?
A coin dealer, offered a rare silver coin, suspected that it might be a counterfeit nickel copy. The dealer heated the coin, which weighed 17.0 g to 100°C in boiling water and then dropped the hot coin into 25.5 g of water at T = 16.5°C in an insulated coffee-cup, and measured the rise in temperature. If the coin was really made of silver, what would the final temperature of the water be (in °C)? (for nickel, s = 0.445 J/g°C; for silver, s = 0.233 J/g°C )
Specific heat silver0.233joules per degree
Specific heat nickel0.445joules per degree
Specific heat water4.184joules per degree
Weight of metal17grams
Weight of water25.5grams
For SILVER
Energy released from 100 deg to 16.5 deg = 17 * 0.233 * 83.5 =330.7435joules
Heat capacity of coin plus water= 17 * 0.233 + 25.5 * 4.184 =110.653joules per degree
Rise in temperature = 330.74/110.65
= 3 degrees (THIS IS YOUR ANSWER)
for NICKEL
Heat released from 100 deg to 16.5 deg= 17 * 0.445 * 83.5
=631.6775joules
Heat capacity of coin plus water = 17 * 0.445 + 25.5 * 4.184
= 114.257 joules per degree
Rise in temperature = 330.74/110.65
= 5.5 degrees