Chemistry, asked by shraddha150601, 10 months ago

If temperature changes from 27°C to 127°C, the
relative percentage change in rms velocity is

(a) 1.56
(b) 2.56
(c) 15.6
(d) 82.4​

Answers

Answered by dk6060805
10

Answer is Option (c)

Explanation:

V_r_m_s = \sqrt (\frac {3RT}{MW})

V_r_m_s = \sqrt (\frac {3R (27 + 273)}{MW})

V_r_m_s = \sqrt (\frac {3 \times (300)R}{MW})

V_r_m_s = 30 \sqrt (\frac {R}{MW})

Now,  

V'_r_m_s = \sqrt (\frac {3RT}{MW})

V'_r_m_s = \sqrt (\frac {3(400)R}{MW})

V'_r_m_s = 20\times \sqrt 3 (\sqrt (\frac {R}{MW}))

Now, Change in V = \frac {V'_r_m_s - V_r_m_s}{V_r_m_s} \times 100

= \frac {20\sqrt 3(\sqrt (\frac {R}{MW}) - 30(\sqrt (\frac {R}{MW})}{30(\sqrt (\frac {R}{MW})} \times 100

= \frac {34.6 - 30}{30} \times 100

= \frac {46}{3}

= 15.6 (Option (c))

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