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JEE Main 2026 · 6 Apr · Shift 1, Physics question 35

Two closed vessels of same volume are joined through a narrow tube and both vessels are filled with air of pressure 90 kPa and temperature 400 K. Keeping the temperature of one vessel constant at 400 K the second vessel temperature is raised to 500 K. The final pressure in the vessels is ________ kPa.

Choose one option
Answer and worked solution

Official answer: A

Total moles are fixed. With the volume V the same for both vessels:
2(90)V400R=PVR(1400+1500).\frac{2(90)V}{400R}=\frac{PV}R\left(\frac1{400}+\frac1{500}\right).

Solve. 0.45=P⋅920000.45=P\cdot\dfrac9{2000}, so P=100P=100 kPa.

(A)