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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) = (2PM)/(RT) = 5 implies (2 xx 8.21 xx 4)/(0.0821 xx T) = 5 therefore T = 160 K`
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