Physics-
General
Easy

Question

An ideal gas is taken from point A to the point B, as shown in the P-V diagram, keeping the temperature constant. The work done in the process is

  1. left parenthesis P subscript A end subscript minus P subscript B end subscript right parenthesis left parenthesis V subscript B end subscript minus V subscript A end subscript right parenthesis    
  2. fraction numerator 1 over denominator 2 end fraction left parenthesis P subscript B end subscript minus P subscript A end subscript right parenthesis left parenthesis V subscript B end subscript plus V subscript A end subscript right parenthesis    
  3. fraction numerator 1 over denominator 2 end fraction left parenthesis P subscript B end subscript minus P subscript A end subscript right parenthesis left parenthesis V subscript B end subscript minus V subscript A end subscript right parenthesis    
  4. fraction numerator 1 over denominator 2 end fraction left parenthesis P subscript B end subscript plus P subscript A end subscript right parenthesis left parenthesis V subscript B end subscript minus V subscript A end subscript right parenthesis    

The correct answer is: fraction numerator 1 over denominator 2 end fraction left parenthesis P subscript B end subscript plus P subscript A end subscript right parenthesis left parenthesis V subscript B end subscript minus V subscript A end subscript right parenthesis


    W = Area bonded by the indicator diagram with V-axis)
    equals fraction numerator 1 over denominator 2 end fraction left parenthesis P subscript A end subscript plus P subscript B end subscript right parenthesis left parenthesis V subscript B end subscript minus V subscript A end subscript right parenthesis

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