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Physics with Akhtiar Ali Bullo
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Molecular Theory of Gases Numericals
12 class physics numericals
12 class physics problems

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00:00Numerical number 9 of unit 15 molecular theory of gases is, calculate the root mean square
00:14speed of hydrogen molecule at 500 Kelvin of proton 1.67 into 10 raised power minus 27 kilogram
00:29and Boltzmann constant K is given as 1.38 into 10 raised power minus 23 joule per Kelvin.
00:43So, first of all, we have to find the root mean square speed of hydrogen molecule which is equal to Watt.
01:02Temperature हमें obtained है, that is 500 Kelvin और
01:10proton का जो मास है, वो 1.67 into 10 raised power minus 27 kg अप्तेंड है.
01:20So, mass of hydrogen molecule will be equal to 2 into 1.67 into 10 raised power minus 27 kg.
01:35So, mass of hydrogen molecule will be 3.34 into 10 raised power minus 27 kg.
01:49जब हम 2 को 1.67 के साथ multiply करेंगे, तो हमें answer मिलेगा 3.34.
01:57So, into 10 raised power minus 27 हम same लिखेंगे.
02:02और बोल्स में लिखेंगे लिखेंगे लिखेंगे का वेल्यू हमें उप्तेंड है, यह वेल्यू हमें लिखेंगे.
02:09we have obtained that is 1.38 into 10 raised power minus 23 Joule per Kelvin and this is
02:23also constant. So, for calculation we will use formula root mean square speed is equal
02:37to under root 3 KT upon M. So, by putting the given values 3 into the value of Boltzmann constant
02:53is 1.38 into 10 raised power minus 23 into temperature which is obtained is 500 Kelvin divided by
03:07mass of hydrogen molecule which is 3.34 into 10 raised power minus 27 kg. So, root mean square
03:21speed will be obtained as under root.
03:26जब हम 3 1.38 और 500 को multiply करवाएंगे आपस में तो हमें answer मिलेगा
03:36under root 2,070 into 10 raised power minus 23 divided by 3.34 into 10 raised power minus
03:5227. So, जब हम 2,070 में से 3.34 divided करवाएंगे तो हमें answer मिलेगा
04:02under root 2,070 into 10 raised power minus 23 यहाँ पर 27 minus का है तो उपर जाकर यह पिलस का हो जाएगा. So,
04:29plus 27. So, root mean square speed will be equal to under root 619.76 into 10 raised power minus 23 plus 27. So,
04:51it will be 4. So, under root of 619.76 will be 24.8949 into 10 raised power, the under root
05:09of 10 raised power 4 is 10 raised power 2 meter per second. So, root mean square speed will
05:21be obtained as 10 raised power 2 को हम ऐसे बलिख सकते हैं कि यह value 100 के
05:29equal होता है. So, जब हम 100 इस value के साथ multiply करवाएंगे तो हमें answer मिलेगा
05:362489.49.49 meter per second. So, this is our final answer.
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