One mole of an ideal monatomic gas is taken along the path A B C A as shown in the P V diagram. The maximum…

One mole of an ideal monatomic gas is taken along the path ABCA as shown in the PV diagram. The maximum temperature attained by the gas along the path BC is given by:
  1. 254 P0V0R
  2. 58 P0V0R
  3. 258 P0V0R
  4. 2516 P0V0R

Solution

Equation of the line BCP=P0-2P0V0(V-2V0), the temperature = P0V- 2P0V2V0+4P0V1 ×RT=P0R5V-2V2V0dTdV=0
5-4VV0=0V=54V0
T=P0R5×5V04-2V0×2516V02T=258P0V0R.

Asked in: JEE Main 2018 (16 Apr Online)

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