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A chamber containing a gas was evacuated till the vacuum attained was 10^{-14} \mathrm{~m} of \mathrm{Hg}. if the temperature Of the chamber was 30^{\circ} \mathrm{C}, the number of molecules that remains in it per cubic meters is -

Option: 1

3.2 \times 10^{11}


Option: 2

3.2 \times 10^{12}


Option: 3

2.3 \times 10^{12}


Option: 4

2.3 \times 10^{10}


Answers (1)

best_answer

\begin{aligned} P V & =n R T \\ n & =\frac{P V}{R T} \end{aligned}

\therefore N=n \times 6.023 \times 10^{23}=\frac{P V}{R T} \times 6.023 \times 10^{23}

\begin{array}{r} N=\frac{10^{-14} \times 13.6 \times 10^3 \times 10 \times 1}{(8.31)(273+30)} \times 6.023 \times 10^{23}=3.2 \times 10^1^1 \end{array}

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shivangi.shekhar

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