Properties
GATE Mechanical Engineering · 26 questions across 15 years (1990-2023) · 38% recurrence rate
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1990–2023Difficulty mix
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All 26 questions on Properties
Consider a mixture of two ideal gases, X and Y, with molar masses M̅ X = 10 kg/kmol and M̅ Y = 20 kg/kmol, respectively, in a container. The total pressure in the container is 100 kPa, the total volume of the container i...
Which one of the following statements is FALSE?
In Fe-Fe 3 C phase diagram, the eutectoid composition is 0.8 weight % of carbon at 725 ºC. The maximum solubility of carbon in α-ferrite phase is 0.025 weight % of carbon. A steel sample, having no other alloying element...
The molar specific heat at constant volume of an ideal gas is equal to $$2.5$$ times the universal gas constant ($$8.314$$ $$J/mol.K$$). When the temperature increases by $$100$$ $$K$$, the change in molar specific entha...
The volume and temperature of air (assumed to be an ideal gas) in a closed vessel is $$2.87{m^3}$$ and $$300$$ $$K,$$ respectively. The gauge pressure indicated by a manometer fitted to the wall of the vessel is $$0.5$$...
The INCORRECT statement about the characteristics of critical point of a pure substance is that
The Vander-waals equation of state is $$\left( {p + {a \over {{v^2}}}} \right)\left( {v - b} \right) = RT,$$ where $$p$$ is pressure, $$v$$ is specific volume, $$T$$ is temperature and $$R$$ is characteristic gas constan...
A rigid container of volume $$0.5$$ $${m^3}$$ contains $$1.0$$ $$kg$$ of water at $${120^ \circ }C$$ $$\left( {{V_f} = 0.00106\,{m^3}/kg,\,\,{v_g} = 0.8908\,\,{m^3}/kg} \right).$$ The state of water is
Temperature of nitrogen in a vessel of volume $$2{m^3}$$ is $$288$$ $$K.$$ $$A$$ $$U$$-tube manometer connected to the vessel shows a reading of $$70$$ $$cm$$ of mercury (level higher in the end open to atmosphere). The...
For an ideal gas with constant values of specific heats, for calculation of the specific enthalpy,
A certain amount of an ideal gas is initially at a pressure $${p_1}$$ and temperature $${T_1}$$. First, it undergoes a constant pressure process $$1$$-$$2$$ such that $$T{}_2 = 3{T_1}/4.$$ Then, it undergoes a constant v...
Water has a critical specific volume of $$0.003155$$ $${m^3}/kg.$$ A closed and rigid steel tank of volume $$0.025{m^3}$$ contains a mixture of water and steam at $$0.1MPa.$$ The mass of the mixture is $$10$$ $$kg.$$ The...
A football was inflated to a gauge pressure of $$1$$ bar when the ambient temperature was $${15^ \circ }C$$. When the game started next day, the air temperature at the stadium was $${5^ \circ }C$$. Assume that the volume...
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 $$p$$-$$v$$-$$T$$ relation is $$\left( {p + {a \over {{v^2}}}} \right)v = RT,$$ where...
What is the speed of sound in Neon gas at a temperature of $$500$$ $$K$$ (Gas constant of Neon is $$0.4210$$ $$kJ/kg$$-$$K$$)?
The specific heats of an ideal gas depend on its
When wet steam flows through a throttle valve and remains wet at exit
Match List - $${\rm I}$$ with List - $${\rm II}$$ List - $${\rm I}$$ $$A.$$ Cetane number $$B.$$ Approach and range $$C.$$ $${\left( {{{\delta T} \over {\delta P}}} \right)_h} \ne 0$$ $$D.$$ $$dh = {c_p}\,\,dT,$$ even wh...
Constant pressure lines in the super-heated region of the Mollier diagram will have
The definition of 1 K as per the internationally accepted temperature scale is
During the phase change of a pure substance:
At the point of a pure substance, the number of degrees of freedom is :
The relationship $$\,{\left( {\partial T/{\partial _p}} \right)_h} = 0$$ holds good for :
In the vicinity of the triple point, the vapour pressures of liquid and solid ammonia are respectively given by $$\eqalign{ & \ln \,\,P = 15.16 - 3063/T \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,and \cr & \ln \,\,P...
A vessel of volume $$\,\,1.0\,\,{m^3}$$ contains a mixture of liquid water and steam in equilibrium at $$1.0$$ bar.Given that $$90\% $$ of the volume is occupied by the steam, find the dryness fraction of the mixture. As...
When initially dry and saturated steam flows through a nozzle, the ratio of actual discharge to calculated discharge is