Question

for a gas at a given temperature, the molecules move at a range of speeds. how does this range change with different temperatures?
the range of speeds varies unpredictably with both temperature and mass.
the range of speeds is the same width at any temperature.
the greater the temperature, the smaller the range of speeds.
the greater the temperature, the wider the range of speeds.

Explanation:

At higher temperatures, gas - molecules gain more kinetic energy. This leads to a wider distribution of speeds among the molecules. So, the range of speeds increases with increasing temperature.

Answer:

The greater the temperature, the wider the range of speeds.