Engineering Sciences
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE XE 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 106–108 of 197. Imported answers require review unless explicitly marked reviewed.
Question 106
Open questionXE-ENAT2 marksNeeds review
A rigid spherical solid ball at 100 °C is cooled slowly to 200 °C in a surrounding air at 25 °C. The density, specific heat capacity, and diameter of the ball are 800 kg/m³, 500 J/kg-K, and 10 mm; respectively. Assuming that the cooling process is quasi-equilibrium, the entropy generated (in J/K) in the process is ____________ (rounded off to two decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 107
Open questionXE-ENAT2 marksNeeds review
Consider an ideal Diesel-cycle with cold-air-standard assumptions to be applicable. The compression ratio is 20 and the cut-off ratio is 1.8. At the end of the compression process, the working fluid is at 1120 K and 6.6 MPa. The ratio of the specific heat capacities is 1.4 for the working fluid. The temperature (in K) at the end of the expansion process is ____________ (rounded off to two decimal places).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 108
Open questionXE-ENAT2 marksNeeds review
A mixture of helium (He) and nitrogen (N₂) expands in a turbine from 800 kPa to 100 kPa. The mixture composition is 40% He and 60% N₂ by mass. The turbine inlet temperature is 1000 K. The temperature (in K) at the turbine exit is ____________ (rounded off to two decimal places).
Assume:
The process is isentropic. Kinetic and potential energy changes in the process are negligible. He and N₂ behaves as ideal gases. Specific heat capacities are constant.
Use the following data:
Ratio of specific heat capacities for He and N₂ are 1.67 and 1.4, respectively.
Specific heat capacities at constant pressure for He and N₂ are 5.19 kJ/kg-K and 1.04 kJ/kg-K, respectively.
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