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Pressure of 1 g of an ideal gas A at 27 °C is found to be 2 bar. W...

Pressure of 1 g of an ideal gas A at 27 | Class 11 Chemistry Chapter States of Matter, States of Matter NCERT Solutions

Question:

Pressure of 1 g of an ideal gas A at 27 °C is found to be 2 bar. When 2 g of another ideal gas B is introduced in the same flask at same temperature the pressure becomes 3 bar. Find a relationship between their molecular masses.

Answer:

Mass of gas A , W_A = 1g

Mass of gas B, W_B= 2g

Pressure exerted by the gas A = 2 bar

Total pressure due to both the gases = 3 bar

In this case temperature & volume remain constant

Now if M_A & M_B are molar masses of the gases A & B respectively,therefore

p_A V= W_A RT/M_A & P_total V = (W_A/M_A + W_B/ M_B) RT

= 2 X V = 1 X RT/M_A& 3 X V = (1/M_A + 2/M_B)RT

From these two equations, we get

3/2 = (1/M_A + 2/M_B) / (1 /M_A) = (M_B + 2M_A) / M_B

This result in 2M_A/ M_B = (3/2) -1 = ½

OR M_B = 4M_A

Thus, a relationship between the molecular masses of A and B is given by

4M_A = M_B

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Comments

Sana
2019-10-17 20:34:13

Why it can't be just p directly proportional to molecular weight by which mw1=2mw2

Rockstar
2019-09-20 22:45:27

Greatest explanation

Samadrita
2019-06-27 21:06:26

Thank you. Really helpful ð

Lakshita joshi
2019-02-27 12:22:22

R is here universal gas constant

Lakshita joshi
2019-02-27 12:21:59

R is here universal gas constant

Niti
2018-11-08 15:30:29

Why does the volume is constant here ... it is not given in question ..????

shiva tiwari allhabadi
2018-10-30 07:16:11

W means n

shiva tiwari allhabadi
2018-10-30 07:15:55

R means 0.281 atm

shiva tiwari allhabadi
2018-10-30 07:11:34

Anita are u know the formula of mAss\molarmass =n and here n is represented by W ðð

Anita
2018-08-13 22:08:58

What is meaning of wA/mA+wB/mB in this question please answer

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Welcome to the NCERT Solutions for Class 11 Chemistry - Chapter . This page offers a step-by-step solution to the specific question from Excercise 1 , Question 5: Pressure of 1 g of an ideal gas A at 27 °C is found to be 2 bar. When 2 g of another ideal gas B....

Pressure of 1 g of an ideal gas A at 27 | Class 11 Chemistry Chapter States of Matter, States of Matter NCERT Solutions

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