Compare the root mean square speeds of two samples of H₂(g) at temperatures of -100°C and 300°C [assume ideal gas behavior]. Which of the following statements is correct?
a) The hotter sample is about 40 times faster than the slower sample
b) The hotter sample is about 20 times faster than the slower sample
c) The hotter sample is about 3 times faster than the slower sample
d) The hotter sample is about 2 times faster than the slower sample
e) The two samples have the same root mean square speeds