A certain mass of a gas occupies a volume of $2 \mathrm{~L}$ at STP. To what temperature the gas must be…

A certain mass of a gas occupies a volume of $2 \mathrm{~L}$ at STP. To what temperature the gas must be heated to double its volume, keeping the pressure constant?
  1. $100 \mathrm{~K}$
  2. $273 \mathrm{~K}$
  3. $273^{\circ} \mathrm{C}$
  4. $546^{\circ} \mathrm{C}$

Solution

$\frac{V_1}{T_1}=\frac{V_2}{T_2}($ Charle's law $)$ $\begin{aligned} \frac{2}{273} & =\frac{4}{T_2} \\ T_2 & =\frac{273 \times 4}{2}=546 \mathrm{~K} \text { or } 273^{\circ} \mathrm{C}\end{aligned}$

Asked in: AP EAMCET 2007

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