Chemistry - Ideal Gas Question with Solution | TestHub

ChemistryIdeal GasIdeal Gas Equation & problemsEasy2 minQB
ChemistryEasysingle choice

An amount of 1 mole of a gas is changed from its initial state (20L, 2atm) to final state (4L, 10atm), respectively. If the change can be represented by a straight line in P-V curve, the maximum temperature achieved by the gas in the process is (R = 0.08 L-atm/K-mol)

Options:

Answer:
B
Solution:

Line through (V, P) = (20, 2) and (4, 10): slope = (10 - 2)/(4 - 20) = -0.5, so P = 12 - 0.5V. T = PV/R = V(12 - 0.5V)/0.08. dT/dV = 0 gives V = 12 L, P = 6 atm (both within the segment). Tmax = 12 × 6 / 0.08 = 900 K. Confirms Ans: (b) 900 K.

Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Ideal Gas Equation & problems
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