GATE ME
Thermodynamics
Calculation of Work and Heat
Previous Years Questions

Marks 1

A mass $$m$$ of a perfect gas at pressure $${p_1}$$ and volume $${V_1}$$ undergoes an isothermal process. The final pressure is $${p_2}$$ and volume i...
Which of the following statements are TRUE with respect to heat and work? $$(i)$$ They are boundary phenomena $$(ii)$$ They are exact differentials $...
A cylinder contains $$5\,\,{m^3}$$ of an ideal gas at a pressure of $$1$$ bar. This gas is compressed in a reversible isothermal process till its pres...
Heat and work are
The contents of a well-insulated tank are heated by a resistor of $$23\Omega $$ in which $$10A$$ current is flowing. Consider the tank along with its ...
A pump handling a liquid raises its pressure from $$1$$ bar to $$30$$ $$bar.$$ Take the density of the liquid as $$990$$ $$kg/{m^3}$$. The isentropic ...
A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as state $$1$$ and state $$2$$ r...
For reversible adiabatic compression in a steady flow process, the work transfer per unit mass is

Marks 2

An ideal gas undergoes a reversible process in which the pressure varies linearly with volume. The conditions at the start (subscript $$1$$) and at th...
A mixture of ideal gases has the following composition by mass: If the universal gas constant is $$8314$$ $$J/kmol$$-$$K,$$ the characteristic gas ...
$$1.5$$ $$kg$$ of water is in saturated liquid state at $$2$$ bar $$\left( {{v_f} = 0.001061\,\,{m^3}/kg,\,\,{u_f} = 504.0kJ/kg,\,\,{h_f} = 505\,\,kJ...
A mono-atomatic ideal gas $$\left( {\gamma = 1.67,} \right.$$ molecular weight$$=40$$ $$\left. \, \right)$$ is compressed adiabatically from $$0.1$$ ...
A frictionless piston-cylinder device contains a gas initially at $$0.8MPa$$ and $$0.015$$ $${m^3}.$$ It expands quasi-statically at constant temperat...
In a steady state steady flow process taking place in a device with a single inlet and a single outlet, the work done per unit mass flow rate is given...
A $$100$$ $$W$$ electric bulb was switched on in a $$2.5\,m \times 3m \times 3m$$ size thermally insulated room having a temperature of $${20^ \circ ...
Nitrogen at an initial state of $$10$$ bar, $$1{m^3}$$ and $$300$$ $$K$$ is expanded isothermally to a final volume of $$2{m^3}$$. The $$p$$-$$v$$-$$T...
A vertical cylinder with a freely floating piston contains $$0.1$$ $$kg$$ air at $$1.2$$ bar and a small electrical resistor. The resistor is wired t...
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