Q17 / 150 · MHT CET 2023 (09 May Shift 1) · Chemistry

At $0^{\circ} \mathrm{C}$ a gas occupies 22.4 liters. What is the temperature in Kelvin to reach the volume of 224 liters?

  • A
    $546 K$
  • B
    $273K$
  • Correct answer
    C
    $2730K$
  • D
    $5460K$

Solution

According to Charles' law, $\frac{\mathrm{V}_1}{\mathrm{~T}_1}=\frac{\mathrm{V}_2}{\mathrm{~T}_2} \quad$ (at constant $\mathrm{n}$ and $\mathrm{P}$ ) $\therefore \quad \mathrm{T}_2=\frac{\mathrm{V}_2 \times \mathrm{T}_1}{\mathrm{~V}_1}=\frac{224 \times 273}{22.4}=2730 \mathrm{~K}$

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

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