An 800-kg car traveling at 25 m/s crashes into a wall on a hot day (27 $\circ$ C).What is the total change in entropy?

Question

Quizplus · Accepted Answer

We need to calculate the change in entropy using the formula ΔS = Q/T, where Q is the heat energy absorbed by the car (due to the collision) and T is the temperature of the car and the environment after the collision. The temperature change can be assumed to be negligible.

To calculate Q, we can use the formula Q = 0.5 * mv^2, where m is the mass of the car and v is the velocity of the car just before the collision. 
Q = 0.5 * 800 kg * (25 m/s)^2 = 250,000 J

Therefore, ΔS = 250,000 J / (27°C + 273) K = 830 J/K.

The correct answer is C.

An 800-Kg Car Traveling at 25 M/s Crashes into a Wall