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0 votes
5.9k views
in Thermodynamics by (24.0k points)
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One mole of oxygen of volume 1 litre at 4 atm pressure to attains 1 atm pressure by result of isothermal expansion. Find work done by the gas.

(a)  155 J

(b)  206 J

(c)  355 J

(d)  552 J

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2 Answers

+1 vote
by (34.3k points)

Correct option (d)  552 J

0 votes
by (25 points)

Work done in isothermal expansion = W = image

where, R = 0.0821 atm/mol/K

T = PV/nR 

= 4× 105 N/m² × 1L/1 × 0.0821 K

= (4 × 105/0.0821) K

image = 4/1 = 4

Hence, W = 2.303 × 0.0821 × 4 × 105/0.0821 × log4 

= 2.303 × 4 × 105 log4 

= 5.54 × 105 J

= 554 × 10³ J 

= 554 kJ

so the answer of this question is 554KJ

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