Kinetic Theory - Result Question 4

4. At 10∘C the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At 110∘C this ratio is:

[2008]

(a) x

(b) 383283x

(c) 10110x

(d) 283383x

Show Answer

Answer:

Correct Answer: 4. (d)

Solution:

  1. (d) Let the mass of the gas be m.

At a fixed temperature and pressure, volume is fixed.

Density of the gas, ρ=mV

Now ρP=mPV=mnRT

⇒mnRT=x (By question)

⇒xT= constant ⇒x1T1=x2T2

⇒x2⇒x1T1T2=283383x{ Given T1=283KT2=383K

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