JEE Main & Advanced Chemistry States of Matter Question Bank Ideal gas equation and Related gas laws

  • question_answer How many moles of He gas occupy 22.4 litres at \[{{30}^{o}}C\] and one atmospheric pressure   [KCET 1992]

    A)                 0.90       

    B)                 1.11

    C)                 0.11       

    D)                 1.0

    Correct Answer: A

    Solution :

               \[\frac{{{P}_{1}}{{V}_{1}}}{{{n}_{1}}{{T}_{1}}}=\frac{{{P}_{2}}{{V}_{2}}}{{{n}_{2}}{{T}_{2}}}\therefore {{n}_{2}}=\frac{{{P}_{2}}{{V}_{2}}{{T}_{1}}}{{{P}_{1}}{{V}_{1}}{{T}_{2}}}{{n}_{1}}\]                    \[\left. \begin{align}   & at\text{ }STPone\text{ }mole. \\  & {{P}_{1}}=\text{ }1atm. \\  & {{V}_{1}}=\text{ }22.4lt \\  & {{T}_{1}}=\text{ }{{273}^{o}}K \\ \end{align} \right\}\begin{matrix}    at\,T={{273}^{o}}+{{30}^{o}}={{303}^{o}}K  \\    {{P}_{2}}=1atm  \\    {{V}_{2}}=22.4  \\ \end{matrix}\]                                                                                  \[{{n}_{2}}=\frac{1}{1}\times \frac{22.4}{22.4}\times \frac{273}{303}\times 1=0.9\]moles


You need to login to perform this action.
You will be redirected in 3 sec spinner