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Question

Chemistry Question on Ideal gas equation

The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature needed to excite hydrogen atoms to first excited level, is :

A

=n×12mυ2t=\frac{n\times \frac{1}{2}m{{\upsilon }^{2}}}{t}

B

=360×12×2×102×(100)260=\frac{360\times \frac{1}{2}\times 2\times {{10}^{-2}}\times {{(100)}^{2}}}{60}

C

g=GmR2g=\frac{Gm}{{{R}^{2}}}

D

\overrightarrow{\text{F}}=\left( \text{2\hat{i}}+\text{4\hat{j}} \right)

Answer

=n×12mυ2t=\frac{n\times \frac{1}{2}m{{\upsilon }^{2}}}{t}

Explanation

Solution

According to kinetic interpretation of temperature t1=5s,a=?{{t}_{1}}=5s,a=? Given : a=s2s1t2=6540(5)2a=\frac{{{s}_{2}}-{{s}_{1}}}{{{t}^{2}}}=\frac{65-40}{{{(5)}^{2}}} So, =2525=1m/s2=\frac{25}{25}=1m/{{s}^{2}} Or s1=ut+12at2{{s}_{1}}=ut+\frac{1}{2}a{{t}^{2}} 40=5u+12×1×2540=5u+\frac{1}{2}\times 1\times 25 5u=27.5oru=5.5m/s5u=27.5\,\,or\,\,\,u=5.5m/s