Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
The number of air molecules in a $(5 \mathrm{~m} \times 5 \mathrm{~m} \times 4 \mathrm{~m})$ room at standard temperature and pressure is of the order of
PhysicsKinetic Theory of GasesKVPYKVPY 2011 (SA)
Options:
  • A $6 \times 10^{23}$
  • B $3 \times 10^{24}$
  • C $3 \times 10^{27}$
  • D $6 \times 10^{30}$
Solution:
2617 Upvotes Verified Answer
The correct answer is: $3 \times 10^{27}$
$\mathrm{PV}=\mathrm{N} \times \mathrm{K} \times \mathrm{T}$
where $\mathrm{K}$ is Boltzmann constant
$\begin{array}{l}
10^{5} \times 100=\mathrm{N} \times 1.38 \times 10^{-23} \times 273 \\
\mathrm{~N} \approx 3 \times 10^{27}
\end{array}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.