NEET Sample Paper NEET Sample Test Paper-41

  • question_answer
    An ideal gas expands in volume from \[1\times 1{{0}^{-3}}{{m}^{3}}\,\,\,to\,\,1{{0}^{-2}}{{m}^{3}}\] at 300K against a constant pressure of \[1\times 1{{0}^{5}}N{{m}^{-2}}\]. The work done is:

    A) -900J               

    B) -900KJ   

    C) 270J                

    D) 900KJ

    Correct Answer: B

    Solution :

    \[\operatorname{W}=-P\Delta V\] \[\Delta \operatorname{V}={{V}_{2}}-{{V}_{1}}\] \[=1\times {{10}^{-2}}{{\operatorname{m}}^{3}}-\left( 1\times {{10}^{-3}}{{\operatorname{m}}^{2}} \right)\] \[\operatorname{P}=1\times 1{{0}^{5}}N{{m}^{-2}}\] \[W=-1{{0}^{5}}N{{m}^{-2}}\left( {{10}^{-2}}-{{10}^{-3}} \right){{\operatorname{m}}^{3}}\] \[=-1{{0}^{5}}\times {{10}^{-3}}\left( 10-1 \right)\] \[=-1{{0}^{2}}\left( 9 \right)\] \[=-900N\,m/J or\,\,-900KJ\]


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