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Using the equation of state pV = nRT; show that at a given temperature...

Using the equation of state pV = nRT; sh | Class 11 Chemistry Chapter States of Matter, States of Matter NCERT Solutions

Question:

Using the equation of state pV = nRT; show that at a given temperature density of a gas is proportional to gas pressurep.

Answer:

The equation of state is given by, pV = nRT ……….. (i)

Where, p → Pressure of gas

V → Volume of gas

n→ Number of moles of gas

R → Gas constant

T → Temperature of gas

From equation (i) we have,

p = n RT/V

Where n= Mass of gas(m)/ Molar mass of gas(M)

Putting value of n in the equation, we have

p = m RT/ MV ------------(ii)

Now density(ρ) = m /V ----------------(iii)

Putting (iii) in (ii) we get

P = ρ RT / M

ρ = PM / RT

Hence, at a given temperature, the density (ρ) of gas is proportional to its pressure (P)

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Comments

Pranay
2019-11-27 11:00:05

It helps me a lot

Lijo
2019-03-17 14:39:46

Thank you ð

Sukanya Bharali
2019-02-28 23:26:33

Tysm . Helped a lot and it's solved in such a easy way

Ms quaisar
2018-11-12 18:28:01

Thanks a lot sir

Shubham Lal Ratnakar
2018-10-24 10:51:36

Thanks sir

Shubham Lal Ratnakar
2018-10-24 10:51:00

Thanks sir

bbs
2018-10-24 09:57:21

Thanxxx re bc

Bhoomi Mishra
2018-09-23 21:44:30

It help me a lot

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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 3: Using the equation of state pV = nRT; show that at a given temperature density of a gas is proportio....

Using the equation of state pV = nRT; sh | Class 11 Chemistry Chapter States of Matter, States of Matter NCERT Solutions

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