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 )
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Specific heat silver 0.233 joules per degree
Specific heat nickel 0.445 joules per degree
Specific heat water 4.184 joules per degree
Weight of metal 17 grams
Weight of water 25.5 grams
For SILVER
Energy released from 100 deg to 16.5 deg = 17 * 0.233 * 83.5 = 330.7435 joules
Heat capacity of coin plus water = 17 * 0.233 + 25.5 * 4.184 =110.653 joules 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
= 631.6775 joules
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
Silver Coin In Water