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NEET 2013
Exam
NEET
Year
2013
Subject
Chemistry
Chapter
States of Matter

NEET 2013 · Chemistry · States of Matter

What is the density of N_2 at 227^ C and 5.00 ~atm pressure?...

What is the density of N2\mathrm{N}_2 at 227∘C227^{\circ} \mathrm{C} and 5.00 atm5.00 \mathrm{~atm} pressure? \left(\mathrm{R}=0.082 \mathrm{~L} \mathrm{~atm} \mathrm{~K}^{-1}\right.mol−1)\left.\mathrm{mol}^{-1}\right)

Options

  1. A1.40 g/ml1.40 \mathrm{~g} / \mathrm{ml}
  2. B2.81 g/ml2.81 \mathrm{~g} / \mathrm{ml}
  3. C3.41 g/ml3.41 \mathrm{~g} / \mathrm{ml}
  4. D0.29 g/ml0.29 \mathrm{~g} / \mathrm{ml}

Correct answer

C. 3.41 g/ml3.41 \mathrm{~g} / \mathrm{ml}

Step-by-step solution

pV=nRTP=mM×RTV=5×280.0821×500=3.41g/mL\begin{aligned}\mathrm{pV}& =n \mathrm{RT}\\ \mathrm{P}& =\frac{\mathrm{m}}{\mathrm{M}} \times \frac{\mathrm{RT}}{\mathrm{V}}\\ & =\frac{5 \times 28}{0.0821 \times 500}=3.41 \mathrm{ g}/ \mathrm{mL} \end{aligned}
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