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GATE ME 2018 Set 2 — Question 52

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NAT+2 / -0MediumIdeal & Real Gas BehaviourLaws & PropertiesThermodynamicsSystems, Properties & Processes

Thermodynamics → Laws & Properties → Ideal & Real Gas Behaviour

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Question

Air is held inside a non-insulated cylinder using a piston (mass M=25 kgM=25\text{ kg} and area A=100 cm2A=100\text{ cm}^2) and stoppers (of negligible area), as shown in the figure. The initial pressure PiP_i and temperature TiT_i of air inside the cylinder are 200 kPa200\text{ kPa} and 400∘C400^\circ\text{C}, respectively. The ambient pressure P∞P_\infty and temperature T∞T_\infty are 100 kPa100\text{ kPa} and 27∘C27^\circ\text{C}, respectively. The temperature of the air inside the cylinder (∘C^\circ\text{C}) at which the piston will begin to move is ________ (correct to two decimal places).
A vertical cylinder with air inside, held by a piston of mass $M=25\text{ kg}$ and area $A=100\text{ cm}^2$ pressed up against stoppers above it. Ambient $P_\infty = 100\text{ kPa}$, $T_\infty = 27^\circ\text{C}$; inside $P_i = 200\text{ kPa}$, $T_i = 400^\circ\text{C}$; $g = 10\text{ m/s}^2$.
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