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  • The temperature of gas is . Volume of gas increased

The temperature of gas is \small 27^{\circ} \mathrm{C}. Volume of gas increased at constant pressure by 2 times.  What is its change in temperature in \small ^{\circ}C?

 

Option: 1

327^{\circ} \mathrm{C}


Option: 2

600^{\circ} \mathrm{C}


Option: 3

300^{\circ} \mathrm{C}


Option: 4

310^{\circ} \mathrm{C}


Answers (1)

best_answer

\begin{aligned} P_1 V_1 & =n_1 R T_1 \\ P_1 V_2 & =n_1 R T_2 \\ V_2 & =2 \times V_1 \end{aligned}

\begin{aligned} & P_1 V_1=n_1 R T_1 & ...(1)\\ & P_1 V_2=n_1 R T_2 &...(2) \end{aligned}

\frac{P_1V_1}{P_1 V_2}=\frac{n_1 R T_1}{n_1 R T_2}

\frac{V_1}{V_2}=\frac{T_1}{T_2}

\frac{1}{2}=\frac{300}{T_2}

T_2=600 \mathrm{~K}=600-273=321^{\circ} \mathrm{C}

\Delta T=327-27=300^{\circ} \mathrm{C}

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Gunjita

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