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The pressure exerted by 5 moles of a rea...

The pressure exerted by 5 moles of a real gas in one litre vessel at `47^(@)C` is (a = 3.592 atm `"litre"^(-1) "mol"^(-2)`, b = 0.0427 litre `"mol"^(-1)`)

A

149 atm

B

77.2 atm

C

47.4 atm

D

18.4 atm

Text Solution

Verified by Experts

The correct Answer is:
B

Applying , `(P+(an^(2))/(V^(2)))(V-nb)=nRT`
a=3.592, b=0.0427 , V=1 L, n =5 mole , T =273 + 47 = 320K
`R= 0.0821 L "atm K"^(-1) "mol"^(-1)`
`(P+ (3.592xx5^(2))/(1^(2)))(1-5 xx 0.0427) = 5 xx 0.0821 xx 320`
`P= 77.2` atm .
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