Q3 / 58 · KVPY 2016 (SA) · Chemistry

In a closed vessel, an ideal gas at $1 \mathrm{~atm}$ is heated from $27^{\circ} \mathrm{C}$ to $327^{\circ} \mathrm{C}$. the final pressure of the gas wil approximately be

  • A
    3 atm
  • B
    $0.5 \mathrm{~atm}$
  • Correct answer
    C
    2 atm
  • D
    12 atm

Solution

$\mathrm{P} \propto \mathrm{T}(\mathrm{V}, \mathrm{n} \rightarrow$ const $)$ $\frac{\mathrm{P}_{1}}{\mathrm{P}_{2}}=\frac{\mathrm{T}_{1}}{\mathrm{~T}_{2}}$ $\frac{1}{\mathrm{P}_{2}}=\frac{300}{600}$ $\mathrm{P}_{2}=2 \mathrm{~atm}$

Hence, the correct answer is option: 'C'.

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