Question

How much does the temperature change when they leave that same silver dollar in their car overnight and it loses 178 J of energy? If the coin used to be 34°C, what is its final temperature in the car?

a) The temperature change is -4.67°C.
b) The temperature change is -30.33°C.
c) The temperature change is 4.67°C.
d) The temperature change is 30.33°C.

Answer 1

The final temperature of the silver dollar after losing 178 J of energy depends on the mass of the coin, which is not provided. The formula Q = mcΔT helps determine the change in temperature, but without the coin's mass, the exact temperature change cannot be calculated.

Step-by-step explanation:

To determine the final temperature of the silver dollar after it loses 178 J of energy, we use the specific heat formula Q = mcΔT, where Q is the heat transferred, m is the mass of the silver coin, c is the specific heat capacity of silver, and ΔT is the change in temperature. The specific heat capacity of silver is 234 J/kg°C. Assuming we have the mass of the silver dollar, we can rearrange the formula to solve for ΔT: ΔT = Q / (mc).

Given that the initial temperature of the coin is 34°C and it loses 178 J of energy, we need to subtract the calculated ΔT from the initial temperature to find the final temperature. The negative sign in the answer indicates a loss of heat, meaning a decrease in temperature.

Without the mass of the coin, we cannot calculate the exact change in temperature (ΔT), so we're missing a key piece of information to provide a definitive answer.