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Irreversible Adiabatic Expansion And Compression

If a gas expa...

Question

If a gas expands irreversibly from 5 L to 10 L against a pressure of 3 atm, then work done will be nearly:

-15 J

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+15 J

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-1520 J

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+1520 J

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Solution

The correct option is C -1520 J
When the gas expands, system does work on surroundings so work done will be negative
W = -P ( $V_{2} - V_{1}$ )
given P= 3 atm = $3 \times 101325 P a$ =303975 Pa
$V_{2}$ = 10 L = $10 \times 10^{- 3} m^{3}$ , $V_{1}$ = 5 L = $5 \times 10^{- 3} m^{3}$
W = -303975 $\times (10 - 5) \times 10^{- 3}$
= -1519.875 J $\approx$ -1520 J

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If a gas expands irreversibly from 5 L to 10 L against a pressure of 3 atm, then work done will be nearly:

The correct option is C -1520 JWhen the gas expands, system does work on surroundings so work done will be negative W = -P (V2−V1) given P= 3 atm = 3×101325Pa =303975 Pa V2= 10 L = 10×10−3m3 , V1= 5 L = 5×10−3m3 W = -303975 ×(10−5)×10−3 = -1519.875 J ≈ -1520 J