JEE Main & Advanced Sample Paper JEE Main Sample Paper-18

  • question_answer
    12 g of gas occupy a volume of\[4\times {{10}^{3}}c{{m}^{3}}\]at a temperature of\[27{}^\circ C\]. After the gas is heated at constant pressure, its density becomes equal to\[6\times {{10}^{-4}}g\,c{{m}^{-3}}\]. What is the temperature to which gas is heated?

    A)  \[500\text{ }K\]              

    B)  \[1500\text{ }K\]

    C)  \[1500{}^\circ C\]                           

    D)  \[135{}^\circ C\]

    Correct Answer: B

    Solution :

     \[{{d}_{1}}=\frac{M}{V}=\frac{12}{4\times {{10}^{3}}}=3\times {{10}^{-3}}g\,c{{m}^{-3}}\]      \[\frac{{{d}_{1}}}{{{d}_{2}}}=\frac{{{T}_{2}}}{{{T}_{1}}}\Rightarrow \frac{3\times {{10}^{-3}}}{6\times {{10}^{-4}}}=\frac{{{T}_{2}}}{300\,K}\] \[\Rightarrow \] \[{{T}_{2}}=5\times 300=1500\,K\]


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