Answer:
No.
Explanation:
1. Volume of a rice grain
There is no standard for the size of a rice grain, so let's make an arbitrary assumption.
An average rice grain behaves as if it were a rectangular solid with dimensions 7 mm × 2 mm × 2 mm.
The volume of one rice grain is
V = lwh = 7 mm × 2 mm × 2 mm = 28 mm³
Convert to cubic metres :
[tex]V = \text{28 mm}^{3} \times \left (\dfrac{\text{1 m}}{\text{1000 mm}}\right )^{3} = \mathbf{2.8 \times 10^{-8}}\textbf{ m}^{\mathbf{3}}[/tex]
2. Volume of the room
V = lwh = 30.0 m × 8.5 m × 3.5 m = 890 m³
3. Volume of a mole of rice
[tex]V= 6.022 \times 10^{23}\text{ grains} \times \dfrac{2.8 \times 10^{-8}\text{ m}^{3}}{\text{1 grain }} = \mathbf{1.7 \times 10^{16}}\textbf{ m}^{\mathbf{3}}[/tex]
4. Conclusion
The room is not big enough to hold a mole of rice.
If you work it out, you will find that it takes about
20 000 000 000 000 (twenty trillion) rooms to hold a mole of rice.
