Question

How much will the temperature of a cup (166 g) of coffee at 93 oc be reduced when a 65 g silver spoon (specific heat 0.24 j/g oc) at 25 oc is placed in the coffee and the two are allowed to reach the same temperature?

Answer 1

To find the final temperature when a silver spoon is placed in coffee, use heat transfer principles, setting the heat lost by the coffee equal to the heat gained by the spoon and solve for the equilibrium temperature.

Step-by-step explanation:

To determine the final temperature after placing a silver spoon into a cup of coffee, we can use the concept of heat transfer and assume no heat is lost to the surroundings. The heat lost by the coffee will equal the heat gained by the spoon. The formula to calculate this is:

Qlost = Qgained

(mcoffee × ccoffee × ΔTcoffee) = (mspoon × cspoon × ΔTspoon)

Where:

• m is mass
• c is the specific heat capacity (for water, c is approximately 4.18 J/g°C)
• ΔT is the change in temperature (final temperature - initial temperature)

Let the final temperature be Tfinal. The equation becomes:

(166 g × 4.18 J/g°C × (93°C - Tfinal)) = (65 g × 0.24 J/g°C × (Tfinal - 25°C))

From this equation, you can solve for Tfinal to find the new equilibrium temperature.