When 1.60 multiplied by 105 J of heat enters a cherry pie initially at 20.0°C, its entropy increases by 470 J/K. What is its final temperature (C)?
To find the final temperature of the cherry pie, we can use the equation:
ΔS = Q/T
where ΔS is the change in entropy, Q is the heat transferred, and T is the temperature.
In this case, we are given that ΔS = 470 J/K and Q = 1.60 * 105 J. We need to solve for T, the final temperature.
First, rearrange the equation to solve for T:
T = Q/ΔS
Substitute the given values into the equation:
T = (1.60 * 105 J) / (470 J/K)
Calculate the result:
T ≈ 340.43 K
Now convert the temperature from Kelvin to Celsius:
Final temperature (C) = T - 273.15
Final temperature (C) ≈ 67.28°C
Therefore, the final temperature of the cherry pie is approximately 67.28°C.