NEET Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Self Evaluation Test - States of Matter

  • question_answer
    On a ship sailing in pacific ocean where temperature is \[23.4{}^\circ C\], a balloon is filled with 2 L air. What will be the volume of the balloon when the ship reaches Indian ocean, where temperature is \[26.1{}^\circ C\]?    

    A) 2.018 L            

    B) 2.8 L

    C) 3.5 L                            

    D) 1.5 L

    Correct Answer: A

    Solution :

    [a] \[{{V}_{1}}=2L,\] \[{{T}_{2}}=(26.1+273)K=299.1~K,\] \[{{V}_{2}}=?\] \[{{T}_{1}}=\left( 23.4+273 \right)K=296.4K\] From Charle's law, \[\frac{{{V}_{1}}}{{{T}_{1}}}=\frac{{{V}_{2}}}{{{T}_{2}}}\Rightarrow {{V}_{2}}=\frac{{{V}_{1}}{{T}_{2}}}{{{T}_{1}}}\] \[\Rightarrow {{V}_{2}}=\frac{2L\times 299.1K}{296.4K}=2L\times 1.009\] \[=2.018L\]


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