Verified answer

The trick here is that you have to use Kelvin. If you try to use Celsius you will calculate that the factor is infinite (division by zero).

So change both temperatures to K, and you get a change from 273 to 443 K.

Since temperature is related to the average kinetic energy of the molecules, and kinetic energy is related to the square of speed, you will need to add the factor of a square root somewhere along the line.

I'm reasonably confident that the ratio will be sqrt(443)/sqrt(273) = 1.27, but you're studying this stuff right now and I'm not, so check my logic!

v_rms = sqrt (3RT/m), but T is in kelvin.

T1 = 273K T2 = 443K

now do the calculation.