A gas expands against a variable pressure given by $p = \frac{20}{V}$ During expansion from volume of 1 litre to 1 litre, the gas undergoes a change in internal energy of 400 J. How much heat is absorbed by the gas during expansion?

46 J

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4660 J

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5065.8 J

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4260 J

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Solution

The correct option is C 5065.8 J
$Δ U = W + Q$
$W = \int P d v$
$= - \int \frac{20}{V} d v = - 20 l n \frac{V_{2}}{V_{1}}$
$= - 20 \times l n (10) a t m L$
$∴ Q = 400 + 20 \times 101.3$
$≃ 5066.8$

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A gas expands against a variable pressure given by p=20VDuring expansion from volume of 1 litre to 1 litre, the gas undergoes a change in internal energy of 400 J. How much heat is absorbed by the gas during expansion?

The correct option is C 5065.8 JΔU=W+QW=∫Pdv=−∫20Vdv=−20lnV2V1=−20×ln(10)atmL∴Q=400+20×101.3≃5066.8

A gas expands against a variable pressure given by $p = \frac{20}{V}$ During expansion from volume of 1 litre to 1 litre, the gas undergoes a change in internal energy of 400 J. How much heat is absorbed by the gas during expansion?

The correct option is C 5065.8 J
$Δ U = W + Q$
$W = \int P d v$
$= - \int \frac{20}{V} d v = - 20 l n \frac{V_{2}}{V_{1}}$
$= - 20 \times l n (10) a t m L$
$∴ Q = 400 + 20 \times 101.3$
$≃ 5066.8$