Question

7 moles of nitrogen are at a temperature of 65 Celsius. At what temperature will the molecules be moving at twice their original speed ( on average)?

Answer 1

At temperature 'T' , the average molecular kinetic energy is given by

, where 'k' is boltzman constant.

Or

where is rms speed of the molecules.

Or

..............................(i) where 'm' is the molecular mass.

Let at temperature, T_A⁰C the molecules wil be moving at twice their original speed.

So we can write ........................(ii)

From (i) and (ii) we can write

Or

Given T=65⁰C, we find