The GATE Grind

GATE 2025 PI – Question 65

General Engineering · Thermal and Fluids Engineering · 2 marks · Numerical answer

A 20 cm wall has left face held at 25°C and right face exposed to 50°C air. There is no internal heat generation; k = 100 W/(m·K) and right-side convection coefficient h = 50 W/(m²·K). Find steady right-face temperature (one decimal °C).

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 27.1 to 27.5

Explanation

Heat flux is $q^{\prime\prime}=(50-25)/(L/k+1/h)=25/(0.002+0.02)=1136.36$ W/m². Right-face temperature is $T_s=50-q^{\prime\prime}/h=27.2727^\circ$C. Rounded answer: **27.3°C**.

More Thermal and Fluids Engineering questions

All Thermal and Fluids Engineering questions →