Questions 461–470 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 47 of 178

Question 89

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Given

is the molar specific volume,

is the pressure,

is the temperature,

is the Universal gas constant, and

are van der Waal’s constants.
The van der Waal’s equation of state is

The value of

is
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Question 90

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The temperature of 10 g of liquid water (

J/g.K) in an insulated container is raised by 5 K by stirring. The amount of heat transferred to the water (in J) is
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Question 91

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The figure shows four different processes labeled 1, 2, 3, and 4 for the same closed system containing an ideal gas. The curves labeled

,

, and

are isotherms. For which one of the four processes, the magnitude of internal energy change is the highest?
Diagram for Engineering Sciences question 91

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Question 92

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A power plant operates on a simple ideal Rankine cycle. If superheating is added to this cycle, then which one of the following options is CORRECT?
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Question 93

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A closed system containing an unknown substance undergoes an adiabatic process governed by the relation

, where

is pressure,

is volume, and

is the ratio of specific heats. For this scenario, which of the following statements is/are always TRUE?
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Question 94

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Two rigid, impermeable containers

and

are filled with an ideal gas. They are allowed to exchange heat only with each other and not with the surroundings.

,

,

, and

represent the pressure, total volume, number of moles, and temperature, respectively. At equilibrium, which of the following conditions is/are necessarily satisfied?
(Subscripts

and

represent properties of the gas in the respective containers.)
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Question 95

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Following data is for an actual vapour compression refrigeration cycle.
Enthalpy at compressor inlet: 246 kJ/kg
Enthalpy at compressor exit: 286 kJ/kg
Heat load on the evaporator: 158 kJ/kg
The enthalpy at the exit of the condenser in kJ/kg is ________ (rounded off to the nearest integer).

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Question 96

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A rigid tank, initially at 1 bar and 300 K, contains 5 moles of

, 4 moles of

, and 3 moles of

. From this tank, 2 moles of

are removed keeping the temperature constant. Assuming ideal gas behavior, the final partial pressure of

(in bar) inside the tank is ________ (rounded off to three decimal places).
Use

J/mol.K
Molecular weights of

,

and

are 2 g/mol, 28 g/mol, and 32 g/mol respectively.

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Question 97

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XE-EMCQ2 marksNeeds review
A fixed mass of an ideal gas undergoes two different cycles M and N as shown in the Pressure (

) – Volume (

) diagrams. Based on the information provided, which one of the following statements is always TRUE?
Diagram for Engineering Sciences question 97

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Question 98

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XE-EMCQ2 marksNeeds review
In a graph with Helmholtz function on the

-axis and volume on the

-axis, the slope of the isotherm curves for a finite volume system containing an ideal gas is
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