Kinetic Theory Of Gases Question 106

Question: Equation of gas in terms of pressure (P), absolute temperature (T) and density is

Options:

A) $ \frac{P _{1}}{T _{1}d _{1}}=\frac{P _{2}}{T _{2}d _{2}} $

B) $ \frac{P _{1}T _{1}}{d _{1}}=\frac{P _{2}T _{2}}{d _{2}} $

C) $ \frac{P _{1}d _{2}}{T _{1}}=\frac{P _{2}d _{1}}{T _{1}} $

D) $ \frac{P _{1}d _{1}}{T _{1}}=\frac{P _{2}d _{2}}{T _{2}} $

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Answer:

Correct Answer: A

Solution:

[a] $ PV=\mu RT=\frac{m}{M}RT $

Therefore $ P=\frac{d}{M}RT $ (Density $ d=\frac{m}{V} $ )

Therefore $ \frac{P}{dT}= $ constant or $ \frac{P _{1}}{d _{1}T _{1}}=\frac{P _{2}}{d _{2}T _{2}} $