A researcher records the temperature of a water sample at several points during a…
PHYSICS · Multi-part · CBSE · Physics · Kinetic Theory · Kinetic Theory
Problem
A researcher records the temperature of a water sample at several points during a heating–cooling cycle. The temperatures (in Kelvin) are listed in the table below.
Temperature, T (K): 290 310 350
(a) For each temperature in the table, express the average kinetic energy per molecule as a multiple of the value at 290 K. Provide numerical factors to three significant figures.
(b) Derive a general algebraic expression for the percent change in average kinetic energy per molecule when the temperature changes from an initial value T1 to a final value T2. Clearly outline your reasoning.
(c) Using the expression from part (b), predict the percent change in average kinetic energy per molecule if the water is cooled from 350 K to 280 K. Show all calculation steps and report the result to three significant figures.