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The internal energy of the air, in a room of volume , at temperature and with outside pressure increasing linearly with time, varies as
(a)increases linearly
(b)increases exponentially
(c)decreases linearly
(d)remains constant

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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 . If the initial volume of the bubble is . What will be its volume as it reaches the surface. Assume that its temperature does not change.
[, density of water ]

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A tyre pumped to a pressure of atmosphere, suddenly bursts. If the temperature of air before expansion is then the air temperature after the tyre busts is
(Assume the expansion is adiabatic and adiabatic constant

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An ideal gas undergoes an adiabatic process. If the pressure of the gas is reduced by then the volume is changed by (Given )

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An ideal monoatomic gas of volume is adiabatically expanded to a volume at The final temperature in Kelvins is
(use )

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Consider a two stage Carnot engine. In the first stage heat is absorbed at temperature and heat is expelled at temperature (where ). In the second stage heat is absorbed at temperature and heat is expelled at temperature The efficiency of the Carnot engine will be

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The carnot heat engine have an efficiency of The temperature of sink is maintained at To increase the efficiency upto the increment in the source temperature is

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The efficiency of carnot engine is when its hot and cold reservoirs are maintained at temperature and , respectively. To increase the efficiency to , the increase in temperature of the hot reservoir by keeping the cold one constant at is

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The following figure shows a Carnot engine that works between temperatures and and drives a Carnot refrigeration that works between temperatures and The quantity will be

