The molar mass of nitrogen gas N2 is 28 g/mol. For 100g of nitrogen, calculate the number of moles, the volume occupied at room temperature 20 degree celsius and pressure of 1.01×10^5 pa

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00:00Numerical number 6 of unit 15, the molar mass of nitrogen gas N2 is 28 gram per mole.

00:16For 100 gram of nitrogen, calculate A the number of moles, B the volume occupied at

00:26room temperature 20 degree centigrade and pressure of 1.01 into 10 raise power 5 pascal.

00:36Sb se philium data banayenge, nitrogen ka molar mass or molecular mass hume obtain

00:45hai, 28 gram per mole.

00:52Isko hem kilogram per mole mein iisai liekhen ge.

00:55جب hem convert کریں گے اس کو kilogram per mole mein تو وہ ہمیں obtain ہوگا 0.028 kilogram per mole.

01:08और nitrogen ka mass means M, हमें obtained है 100 gram.

01:18Jab hem isko kilogram mein convert کریں گے.

01:25So it will be 100 upon 1000 kilogram.

01:31So mass of nitrogen will be 0.1 kilogram.

01:37Pihlis condition में हमें number of moles को find करना है means N is equal to watt.

01:46और temperatures हमें obtained है means room temperature which is 20 degree centigrade

01:57और इसको हम convert करेंगे Kelvin में.

02:00So 273 इसके साथ add करेंगे.

02:04So temperature will be equal to 293 Kelvin.

02:12और gas constant means R.

02:17उसका value जो है वो constant है which is 8.314 Joule per mole per Kelvin.

02:28और second condition में हमें volume find करना है.

02:32और pressure जो है वो हमें given है which is 1.01 into 10s power 5 Pascal.

02:41So for calculation, for first condition means number of moles, we will use formula.

02:55Number of moles is equal to mass divided by molecular mass or molar mass.

03:03So mass is given as 0.1 kg divided by molar mass or molecular mass which is 0.028 kg per mole.

03:18So number of moles is obtained is, after simplifying this we will get the answer 3.57 moles.

03:32So this is our first answer.

03:37अब हम volume find करेंगे.

03:40So volume को calculate करने के लिए हम general gas equation use करेंगे.

03:44PV is equal to N or T.

03:51So V will be equal to N or T upon P.

03:58Is the value of N means number of moles is 3.57 into universal gas constant or gas constant R.

04:11The value of gas constant is 8.314 Joule per mole per Kelvin.

04:18So temperature is obtained as 293 Kelvin divided by pressure which is 1.01 into 10s power 5 Pascal.

04:33So volume will be obtained as when we will multiply all the above values with themselves then we will get

04:4780696.527 divided by 1.01 into 10s power 5 Pascal.

05:05जब हम this value को 1.01 से divide करवाएंगे तो हमें value obtain होगा

05:128610 divided by 10s power 5 को हमें इसे भी लिख सकते हैं के 1 lake.

05:26जब हम 8610 में से divide करवाएंगे 1 lake तो हमें answer मिलेगा

05:410.0861 मीटर क्यूब

05:50So volume हमें obtain हुआ 0.0861 मीटर क्यूब

06:00और जब हम इसको decimeter में convert करेंगे तो ऐसे लिखेंगे

06:05V is equal to 0.0861 into 10s power 3 dm cube

06:14क्यूँके 1 meter is equal to 10 decimeter

06:21So 1 meter cube will be equal to 10 cube decimeter cube

06:30और further हम इसको ऐसे भी लिख सकते हैं

06:33के V will be equal to 10 cube means 1000

06:36जब हम 1000 multiply करवाएंगे इस value के साथ

06:40So this will become is 86.1 decimeter cube. So this is our final answer.

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