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If Pd vs. P(where P denotes pressure in...

If Pd vs. P(where P denotes pressure in atm and d denotes density in gm/L ) is plotted for He gas (assume ideal ) at a particular temperature. If `[(d)/(dP)(pd)]_(P=8.21"atm")=5,` then the temperature wil be

A

160 K

B

320 K

C

80 K

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
a

(a) `PM=dRT`
`Pd=P^(2)((M)/(RT))`
`(d(Pd))/(dP)=(2PM)/(RT)=5`
`(0.2xx8.21xx4)/(0.0821xxT)=5`
`T=160 K`
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