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Standard VII

Physics

Barometer

The cyclic pr...

Question

The cyclic process from X to Y is an isothermal process.
If the pressure of the gas at X is 4.0 kPa, and the volume is 6.0 cubic meters, and if the pressure at Y is 8.0 kPa, what is the volume of the gas at Y?

12.0 cubic meters

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16.0 cubic meters

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3.0 cubic meters

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4.0 cubic meters

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2.0 cubic meters

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Solution

The correct option is C 3.0 cubic meters
Given : $P_{x} = 4.0$ kPa $V_{x} = 6.0$ $m^{3}$ $P_{y} = 8.0$ kPa
X to Y is an isothermal process, thus temperature remains constant i.e $T = c o n s t a n t$ or $P V = c o n s t a n t$
$⟹$ $P_{y} V_{y} = P_{x} V_{x}$
OR $8.0 \times V_{y} = 4.0 \times 6.0$ $⟹ V_{y} = 3.0$ $m^{3}$

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The cyclic process from X to Y is an isothermal process.If the pressure of the gas at X is 4.0 kPa, and the volume is 6.0 cubic meters, and if the pressure at Y is 8.0 kPa, what is the volume of the gas at Y?

The correct option is C 3.0 cubic metersGiven : Px=4.0 kPa Vx=6.0 m3 Py=8.0 kPa X to Y is an isothermal process, thus temperature remains constant i.e T=constant or PV=constant⟹ PyVy=PxVxOR 8.0×Vy=4.0×6.0 ⟹Vy=3.0 m3

The cyclic process from X to Y is an isothermal process.
If the pressure of the gas at X is 4.0 kPa, and the volume is 6.0 cubic meters, and if the pressure at Y is 8.0 kPa, what is the volume of the gas at Y?