Physics-
General
Easy

Question

Volume versus temperature graph of two moles of helium gas is as shown in figure. The ratio of heat absorbed and the work done by the gas in process 1-2 is

  1. 3    
  2. fraction numerator 5 over denominator 2 end fraction    
  3. fraction numerator 5 over denominator 3 end fraction    
  4. fraction numerator 7 over denominator 2 end fraction    

The correct answer is: fraction numerator 5 over denominator 2 end fraction


    V-T graph is a straight line passing through origin. Hence, V proportional to T or P equals text constant end text
    therefore blank capital delta Q equals n C subscript P end subscript capital delta T and capital delta U equals n C subscript V end subscript capital delta T
    Also capital delta W equals capital delta Q minus capital delta U equals mu left parenthesis C subscript P end subscript minus C subscript V end subscript right parenthesis capital delta T
    therefore fraction numerator capital delta Q over denominator capital delta W end fraction equals fraction numerator n C subscript P end subscript capital delta T over denominator n left parenthesis C subscript P end subscript minus C subscript V end subscript right parenthesis capital delta T end fraction equals fraction numerator C subscript P end subscript over denominator C subscript P end subscript minus C subscript V end subscript end fraction equals fraction numerator 1 over denominator 1 minus fraction numerator C subscript V end subscript over denominator C subscript P end subscript end fraction end fraction
    fraction numerator C subscript V end subscript over denominator C subscript P end subscript end fraction equals fraction numerator 3 over denominator 5 end fraction for helium gas. Hence fraction numerator capital delta Q over denominator capital delta W end fraction equals fraction numerator 1 over denominator 1 minus 3 divided by 5 end fraction equals fraction numerator 5 over denominator 2 end fraction

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