‘Power’ is a logarithmic function.
30 dBm of power is 1 Watt, 33 dBm of power is 2 Watts, 36 dBm is 4 Watts, etc.
What you stated would be absolutely correct for sound but for HP in electric motors.
796 Watts = 1 HP
1492 Watts = 2 HP
3184 Watts = 4 HP... all quite linear.
Torque
T = HP 5252 / RPM
where
T= Torque In Ft/Lbs
HP = horsepower
RPM = revolutions per minute (rpm)
Again, a linear equation.
To know why 5X power storage only relates to 2X range we would need to know 1) Is this typical reporter math? or 2) Is the discharge rate of the battery limiting the range?
I think #1 is the most likely answer but will not discount #2
I’m not sure what you’re talking about. The subject here was how much energy, in units of e.g. Watt-hours, or Joules, etc the battery can store. The article wasn’t clear, however, on whether that was an increase in energy/volume or energy/mass. Assuming the article meant that this technology would allow 5 times the energy volume and mass density, I would assume that it would allow 5 times the range for a same-sized (in terms of mass and volume) battery. A five-fold increase in battery energy density is a huge deal, btw.