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Concept drill

entropy

GATE Mechanical Engineering · Thermodynamics - Entropy · 1994-2025

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2025 Q18

Air inside a rigid, thermally-insulated tank undergoes stirring as shown in the figure below. Which one of the following options is correct?

mediumanswer key
2021 Q29

The fundamental thermodynamic relation for a rubber band is given by $dU = TdS + \tau dL$, where T is the absolute temperature, S is the entropy, $\tau$ is the tension in the rubbe...

mediumanswer key
2021 Q50

An adiabatic vortex tube, shown in the figure given below is supplied with 5 kg/s of air (inlet 1) at 500 kPa and 300 K. Two separate streams of air are leaving the device from out...

hardanswer key
2019 Q24

Air of mass 1 kg, initially at 300 K and 10 bar, is allowed to expand isothermally till it reaches a pressure of 1 bar. Assuming air as an ideal gas with gas constant of 0.287 kJ/k...

mediumanswer key
2019 Q47

Water flowing at the rate of 1 kg/s through a system is heated using an electric heater such that the specific enthalpy of the water increases by 2.50 kJ/kg and the specific entrop...

hardanswer key
2018 Q10

For an ideal gas with constant properties undergoing a quasi-static process, which one of the following represents the change of entropy (Δs) from state 1 to 2?

mediumanswer key
2018 Q23

An ideal gas undergoes a process from state 1 ($T_1$= 300 K, $P_1$ = 100 kPa) to state 2 ($T_2$ = 600 K, $P_2$ = 500 kPa). The specific heats of the ideal gas are : $C_p$ = 1 kJ/kg...

mediumanswer key
2018 Q33

One kg of an ideal gas (gas constant, $R = 400$ J/kg. K; specific heat at constant volume, $C_v = 1000$ J/kg. K) at 1 bar, and 300 K is contained in a sealed rigid cylinder. During...

mediumanswer key
2018 Q44

A tank of volume 0.05 m³ contains a mixture of saturated water and saturated steam at 200°C. The mass of the liquid present is 8 kg. The entropy (in kJ/kg K) of the mixture is ____...

mediumanswer key
2014 PYQ

A closed system contains $$10$$ $$kg$$ of saturated liquid ammonia at $${10^ \circ }C.$$ Heat addition required to convert the entire liquid into saturated vapour at a constant pre...

medium
2012 PYQ

An ideal gas of mass $$m$$ and temperature $${T_1}$$ undergoes a reversible isothermal process from an initial pressure $${P_1}$$ to final pressure $$P{}_2.$$ The heat loss during...

easyanswer key
2011 PYQ

In an experimental set-up, air flows between two stations $$P$$ and $$Q$$ adiabatically. The direction of flow depends on the pressure and temperature conditions maintained at $$P$...

mediumanswer key
2010 PYQ

One kilogram of water at room temperature is brought into contact with a high temperature thermal reservoir. The entropy change of the universe is

easyanswer key
2009 PYQ

If a closed system is undergoing an irreversible process, the entropy of the system

easyanswer key
2007 PYQ

A heat transformer is a device that transfers a part of the heat, supplied to it at an intermediate temperature, to a high temperature reservoir while rejecting the remaining part...

mediumanswer key
2003 PYQ

Considering the relationship $$TdS=dU+PdV$$ between the entropy $$(S),$$ internal energy $$(U),$$ pressure $$(P),$$temperature $$(T)$$ and volume $$(V),$$ Which of the following st...

mediumanswer key
2000 PYQ

A certain mass of a pure substance undergoes an irreversible process from state $$1$$ to state $$2,$$ the path of the process being a straight line on the $$T$$-$$s$$ diagram. Calc...

medium
1997 PYQ

For an ideal gas the expression $$\left[ {T{{\left( {{{\delta s} \over {\delta T}}} \right)}_p} - T{{\left( {{{\delta s} \over {\delta T}}} \right)}_v}} \right]$$ is always equal t...

easyanswer key
1997 PYQ

A system undergoes a state change from $$1$$ to $$2.$$ According to the second law of thermodynamics, for the process to be feasible, the entropy changes, $${S_2} - {S_1}$$ of the...

easyanswer key
1994 PYQ

A $$1500$$ $$W$$ electrical heater is used to heat $$20$$ $$kg$$ of water $$\left( {{C_p} = 4186\,\,J/kg\,\,K} \right)$$ in an insulated bucket, from a temperature of $${30^{^0}}C$...

medium