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?
To find the final temperature of the cherry pie, we need to use the equation:
ΔS = Q/T
where:
ΔS is the change in entropy
Q is the heat transferred
T is the temperature
From the given information, we know that ΔS = 470 J/K and Q = 1.60 * 105 J.
Now, we can rearrange the equation to solve for T:
T = Q / ΔS
Substituting the given values into the equation:
T = (1.60 * 105 J) / (470 J/K)
We can then calculate this value to find the final temperature of the cherry pie:
T = 340.43 K
Now, we have the final temperature of the cherry pie, which is approximately 340.43 K.