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When one temperature of an open room which have volume 50 m^{3} increases from 27^{\circ}C to 37^{\circ}C due to sunlight atmospheric pressure inside room is 1 KPa . If n_{1} and n_{2} are no. of molecules in the room before and after heating than final the difference of molecules.

Option: 1

\mathrm{-3.89 \times 10^{25}}


Option: 2

\mathrm{3.89 \times 10^{21}}


Option: 3

\mathrm{4 \times 10^{23}}


Option: 4

\mathrm{\quad 6.022 \times 10^{23}}


Answers (1)

best_answer

\begin{aligned} & T i=27+273=300 \mathrm{k} \\ & T_f=310 \mathrm{k} \\ & P_a=1 \times 10^5 \mathrm{~Pa} \\ & V_0=50 \mathrm{~m}^3 \end{aligned}

\begin{aligned} & R V=n R T N_A \quad\left(\quad N_A=\right.\text { Avagadro number) } \\ & n=\frac{r^2}{R T} N_A \\ & \end{aligned}

\begin{aligned} n_f-n_i & =\frac{p_0 v_0}{r^2}\left(\frac{1}{T f}-\frac{1}{T_i}\right) \times T_A \\ & =\frac{1 \times 10^5 \times 50}{8.314}\left(\frac{1}{310}-\frac{1}{300}\right) \times 6.022 \times 10^{23} \\ & =-3.89 \times 10^{25} \end{aligned}

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Sanket Gandhi

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