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If PD vs P (where P si pressure in atm a...

If PD vs P (where P si pressure in atm and D is density in gm/lit). Is plotted for `H_(2)` ideal gas at a particular temperature.
If `[(d(PD))/(dP)]_(P = 8.21 "atm") = 10`,
then the temperature will be

A

40 K

B

400 K

C

20 K

D

200 K

Text Solution

Verified by Experts

The correct Answer is:
A
PD v/s P
`D = (PM)/(RT)`
`PD = (P^(2)M)/(RT)`
`(d (PD))/(dP) = (2PM)/(RT) = 10`
`(2 xx 8.21 xx 2)/(R xx T) = 10`
`T = (4 xx 8.21)/(0.0821 xx 10) = 40 K`
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