Question

22. At what temperature in Kelvin will hydrogen molecules have the same
root mean square speed as nitrogen molecules have at 35°C ?​

Answer 1

Answer:

K I jajahsiskbsdjkshakaakejeusnkaakakejjew

Answer 2

Explanation:

velocity (V

rms

) of a gas is given by-

V

rms

=

M

3RT

Therefore, root mean square velocity of nitrogen at 35℃-

Molar mass of nitrogen (M)=28g

Temperature (T)=35℃=(35+273)K=308K

∴V

N

2

=

28

3R×308

Let root mean square velocity of hydrogen at temperature T will hve the same as of nitrogen at 35℃

Molar mass of hydrogen =2g

∴V

H

2

=V

N

2

=

28

3R×308

.....(1)

From the formula-

V

H

2

=

2

3RT

.....(2)

From eq

n

(1)&(2), we have

2

3RT

=

28

3R×308

Squaring both sides, we have

2

3RT

=

28

3R×308

⇒T=

14

308

=22K

Hence, at 22K, the hydrogen molecules will have the same root mean square speed as of nitrogen molecules have at 35℃.

Hence the correct answer is 22K.

Answered By

toppr