A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50°C. The gas is now heated to double its temperature. The modified pressure i s _______ Pa.
Physics · Thermodyanmics · thermodynmic process and work done
JEE Mains 2026 24 January Morning Shift

Question

A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50°C. The gas is now heated to double its temperature. The modified pressure i s _______ Pa.

G1 Physics · Accepted Answer

The supplied NTA key interprets "double its temperature" as doubling the Celsius value from 50°C to 100°C. For a closed rigid cylinder, V = constant, so for an ideal gas, P/T = constant, with temperature in kelvin. Initial temperature: Tᵢ = 50+273 = 323 K. Final temperature under the NTA interpretation: T𝒇 = 100+273 = 373 K. Hence, P𝒇/Pᵢ = T𝒇/Tᵢ. Therefore, P𝒇 = 3.23 kPa × 373/323 = 3.73 kPa = 3730 Pa. Hence the source/NTA answer is 3730. Physics note: if "double its temperature" were inter…