An ideal gas is kept in a rigid container that expands negligibly when heated.The gas starts at a temperature of 20.0°C,and heat is added to increase its temperature.At what temperature will its root-mean-square speed (thermal speed)be double its value at 20.0°C?
A) 40.0°C
B) 141°C
C) 313°C
D) 400°C
E) 899°C

Question

Quizplus · Accepted Answer

The root-mean-square speed of an ideal gas is proportional to the square root of its absolute temperature (in Kelvin). To double the speed, the temperature must be quadrupled. Starting at 20.0°C = 293.15 K, quadrupling this temperature gives 1172.6 K, which is approximately 899.45°C.

An Ideal Gas Is Kept in a Rigid Container That