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If Pd v/s. P(where P denotes pressure in...

If Pd v/s. 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= 8.21atm)=5`, then the temperature will be

A

`160 K`

B

`320 K`

C

`80 K`

D

`240 K`

Text Solution

Verified by Experts

The correct Answer is:
A
`PM= dRT implies Pd= P^(2) ((M)/(RT))`
`(d(Pd))/(dP^1)= (2PM)/(RT)= 5 implies (2xx 8.21 xx 4)/(0.0821 xx T)= 5 therefore T= 160K`.
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