GATE XE 2024 Paper 1 — page 33

Questions 97–99 of 175. Imported answers require review unless explicitly marked reviewed.

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?

Your answerChoose one option.

Heat input in Cycle M is equal to heat input in Cycle N

Heat rejected in Cycle M is equal to heat rejected in Cycle N

Net heat transfer in Cycle M is equal to net heat transfer in Cycle N

Thermal efficiency of Cycle M is equal to thermal efficiency of Cycle N

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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

Your answerChoose one option.

always zero

infinite

finite, positive, and non-zero

finite, negative, and non-zero

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Match each quantity in Column M with the appropriate relation from Column N. Here,

is Helmholtz function,

is pressure,

is specific volume,

is temperature,

is specific enthalpy, and

is specific entropy.

Column M: (M1)

; (M2)

; (M3)

; (M4)

Column N: (N1)

; (N2)

; (N3)

; (N4)

; (N5)

; (N6)

; (N7)

; (N8)

Your answerChoose one option.

M1-N5, M2-N1, M3-N4, M4-N7

M1-N6, M2-N2, M3-N3, M4-N8

M1-N5, M2-N1, M3-N4, M4-N8

M1-N8, M2-N1, M3-N4, M4-N5

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2024 · Paper 1