AP EAMCET202315 May 2023Evening ShiftChemistryThermodynamics (C)Actual
If the work done by 2 ~mol of an ideal gas during isothermal reversible expansion from 5 ~L to 50 ~L is -189.1 ~L atm at constant pressure, the temperature of the gas (in ^ C ) is
Options
- A500
- B227
- C327
- D127
Correct answer
B. 227
Step-by-step solution
aligned & W _ rev =-2.303 nRT ( P ₁ P ₂ ) & =-2.303 nRT ( V ₂ ~V ₁ ) aligned We have, n =2 ~mol , ~V ₁=5 ~L , ~V ₂=50 ~L , W =-189.1 ~L ~atm aligned T & = W _ rev -2.303 nR ( V ₂ ~V ₁ ) & = -189.1 -2.303(2)(0.082) ( 50 5 ) & 500 ~K =227^ C aligned