Question

Two vessels of the same size are at the same temperature. One of them holds 1 kg of N2 gas. (i) Which of the vessels contains more molecules? (ii) Which of the vessels is under greater pressure and why? (iii) In which vessel is the average molecular speed greater? How many times is it greater?

Answer 1

Answer:

i) vessel which contains Hydrogen gas will have more molecules

ii) Pressure in the vessel of hydrogen gas is more

iii) Speed of hydrogen gas is more than Nitrogen gas by 3.74 times

Explanation:

Here 1 vessel contains 1 kg hydrogen while other contain 1 kg Nitrogen

Since the two vessels are of identical size so volume of two vessel is same

here we can say

number of moles of hydrogen gas is

$n_{h} = \frac{1000}{2} = 500$

number of moles of nitrogen gas is

$n_N = \frac{1000}{28} = 35.7$

i) So vessel which contain hydrogen gas will have more number of molecules

ii) From ideal gas equation we can say

$PV = nRT$

$P = \frac{nRT}{V}$

so here pressure of the gas directly proportional to its number of moles

because temperature and volume is same here in both containers

so pressure of hydrogen gas will be more

iii) RMS speed of the gas is given as

$v_{rms} = \sqrt{\frac{3RT}{M}}$

so the ratio of speed of gas in vessel is

$\frac{v_{H}}{v_{N}} = \sqrt{\frac{3RT}{2}}{\frac{3RT}{28}}$

so we will have

$\frac{v_H}{v_N} = \sqrt14 = 3.74$

so speed of hydrogen is more than speed of nitrogen by 3.74 times

#Learn

Topic : RMS speed

https://brainly.in/question/1099011

Answer 2

Answer: Hydrogen

Explanation: Hydrogen has greater velocity