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If Oxygen, nitrogen and water vapour are in a room of capacity \small 20 \mathrm{~m}^3\ at\ 300 \mathrm{~K} and 1 atm pressure. What is the total number of moles of constituents?

Option: 1

5.9 \times 10^{26}


Option: 2

5.84 \times 10^{26}


Option: 3

4.98 \times 10^{26}


Option: 4

5.81 \times 10^{26}


Answers (1)

best_answer

\begin{aligned} & V=20 \mathrm{~m}^3, T=300 \mathrm{~K}, \\ & P V=n R T \end{aligned}

P V=n N K_B T \quad\left(K_B=\frac{K}{N}\right)

n N=\frac{P V}{K_B T}

\begin{aligned} & =\frac{1.01 \times 10^5 \times 20}{1.35 \times 10^{-23} \times 300} \\ & =4.98 \times 10^{26} \end{aligned}

 

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Rakesh

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