GATE 2019 ME (ME1) – Question 58
One mole of H₂ in a rigid 1000 L vessel is heated from 27°C to 37°C. With ideal gas behavior and R = 8.314 J/(mol·K), find pressure increase (Pa), to two decimal places.
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Correct answer: 82.14 to 84.14
Explanation
At fixed volume, $\Delta p=nR\Delta T/V$. Convert 1000 L to 1 m³. Hence $\Delta p=1(8.314)(10)/1=\mathbf{83.14}$ Pa.