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#34 | Solved Example: 14

(Physics) > Thermodynamics

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A thermodynamic system is taken through the cycle ABCD as shown in figure. Heat rejected by the gas during the cycle is

(a)2 pV (b)4 pV

(c)$\frac{1}{2}pV$ (d)pV

NEET - 2012

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An ideal gas goes from state A to state B

via three different processes as indicated

in the p-V diagram

If ${\mathrm{Q}}_{1},{\mathrm{Q}}_{2},{\mathrm{Q}}_{3}$ indicates the heat absorbed

by the gas along the three processes and

$\u2206{\mathrm{U}}_{1},\u2206{\mathrm{U}}_{2},\u2206{\mathrm{U}}_{3}$ indicates the change in

internal energy along the three processes

respectively, then

(a) ${\mathrm{Q}}_{1}>{\mathrm{Q}}_{2}>{\mathrm{Q}}_{3}\mathrm{and}\u2206{\mathrm{U}}_{1}=\u2206{\mathrm{U}}_{2}=\u2206{\mathrm{U}}_{3}$

(b) ${\mathrm{Q}}_{3}>{\mathrm{Q}}_{2}>{\mathrm{Q}}_{1}\mathrm{and}\u2206{\mathrm{U}}_{1}=\u2206{\mathrm{U}}_{2}=\u2206{\mathrm{U}}_{3}$

(c) ${\mathrm{Q}}_{1}={\mathrm{Q}}_{2}={\mathrm{Q}}_{3}\mathrm{and}\u2206{\mathrm{U}}_{1}\u2206{\mathrm{U}}_{2}\u2206{\mathrm{U}}_{3}$

(d) ${\mathrm{Q}}_{3}>{\mathrm{Q}}_{2}>{\mathrm{Q}}_{1}\mathrm{and}\u2206{\mathrm{U}}_{1}\u2206{\mathrm{U}}_{2}\u2206{\mathrm{U}}_{3}$

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The internal energy change in a system that has absorbed 2 kcal of heat and done 500 J of work is

(a) 8900 J (b) 6400 J

(c) 5400 J (d) 7900 J

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A system performs work Δ*W* when an amount of heat is Δ*Q* added to the system, the corresponding change in the internal energy is Δ*U*. A unique function of the initial and final states (irrespective of the mode of change) is -

(1) Δ*Q*

(2) Δ*W*

(3) Δ*U* and Δ*Q *

(4) Δ*U*

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A container of volume 1*m*^{3} is divided into two equal compartments by a partition. One of these compartments contains an ideal gas at 300 *K*. The other compartment is vaccum. The whole system is thermally isolated from its surroundings. The partition is removed and the gas expands to occupy the whole volume of the container. Its temperature now would be -

(1) 300 *K*

(2) 239 *K *

(3) 200* K*

(4) 100 *K *

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