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Question

Suppose 0.5 mole of an ideal gas undergoes an isothermal expansion as energy is added to it as heat Q. Graph shows the final volume V subscript f end subscript versus Q. The temperature of the gas is (use ln 9 = 2 and R= 25/3 J/mol-K)

  1. 293 K    
  2. 360 K    
  3. 386 K    
  4. 412 K    

The correct answer is: 360 K


    Q equals W equals n R T l n invisible function application fraction numerator V subscript f end subscript over denominator V subscript i end subscript end fraction semicolon T equals fraction numerator Q over denominator n R divided by n V subscript f end subscript divided by V subscript i end subscript end fraction equals fraction numerator 1500 over denominator 0.5 cross times 25 divided by 3 cross times l n invisible function application 3 end fraction equals fraction numerator 1500 over denominator 0.5 cross times 25 divided by 3 cross times 1 end fraction equals 360 K

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