Q8 / 160 · AP EAMCET 2023 (16 May Shift 1) · Chemistry

At a given temperature, the density of an ideal gas is proportional to ($\mathrm{P}=$ pressure of ideal gas)

  • A
    $\frac{1}{\mathrm{P}}$
  • Correct answer
    B
    $\mathrm{P}$
  • C
    $\mathrm{P}^2$
  • D
    $\sqrt{\mathrm{P}}$.

Solution

$\mathrm{d}=\frac{\mathrm{m}}{\mathrm{V}}=\frac{(\mathrm{n} \times \mathrm{M})}{\frac{\mathrm{nRT}}{\mathrm{P}}}=\frac{\mathrm{PM}}{\mathrm{RT}}=\left(\frac{\mathrm{M}}{\mathrm{RT}}\right) \mathrm{P}$ Thus, $\mathrm{d} \alpha \mathrm{P}$

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

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