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The internal energy of the air, in a room of volume V, at temperature T and with outside pressure P increasing linearly with time, varies as

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Important Questions on Thermodynamics

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An air bubble rises from the bottom of a water tank of height 5 m. If the initial volume of the bubble is 3 mm3. What will be its volume as it reaches the surface. Assume that its temperature does not change.

[g=9.8 m s-2,1 atm=105 Pa, density of water =1 gm cc-1]

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A tyre pumped to a pressure of 2 atmosphere, suddenly bursts. If the temperature of air before expansion is T then the air temperature after the tyre busts is
(Assume the expansion is adiabatic and adiabatic constant γ=32
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An ideal gas undergoes an adiabatic process. If the pressure of the gas is reduced by 0.1% then the volume is changed by (Given r=CpCv=53)
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An ideal monoatomic gas of volume V is adiabatically expanded to a volume 3V at 27°C. The final temperature in Kelvins is
(use CPCV=53)
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Consider a two stage Carnot engine. In the first stage heat Q1 is absorbed at temperature T and heat Q2 is expelled at temperature αT (where α<1). In the second stage heat Q2 is absorbed at temperature αT and heat Q3 is expelled at temperature βT(β<α). The efficiency of the Carnot engine will be
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The carnot heat engine have an efficiency of 50%. The temperature of sink is maintained at 500 K. To increase the efficiency upto 80%, the increment in the source temperature is
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The efficiency of carnot engine is η when its hot and cold reservoirs are maintained at temperature T1 and T2, respectively. To increase the efficiency to 1.5 η, the increase in temperature ΔT of the hot reservoir by keeping the cold one constant at T2 is
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The following figure shows a Carnot engine that works between temperatures T1=400 K and T2=200 K and drives a Carnot refrigeration that works between temperatures T3=350 K and T4=250 K. The quantity Q3Q1 will be
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