The molecules in an ideal gas at 10∘c have a root-mean-square (rms) speed vrms. at what temperature t2 (in degrees celsius) will the molecules have twice the rms speed, 2vrms?

Explanation:

The rms velocity of gas molecules is proportional to square root of absolute temperature , that is

rms velocity ∝ √T

V₁ / V₂ =

T₁ = 10°C = 10 + 273

= 283

T₂ = ?

Substituting the given values

( 1/2 )²  = 283 / T₂

T₂ = 283 X 4

= 1132 K

= 1132 - 273

= 859°c

connect the batteries in series and hope

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from wikipedia