Question

Problem 1.5. A diatomic gas initially at 19°C is suddenly compressed to both of its original volume. Calculate the temperature after compression. Sohition​

Answer 1

Explanation:

The cube has a side of 8 cm.

Step-by-step explanation:

The volume of the metal sheet and the cube will be the same.

The metal sheet has the measurements,

\begin{gathered}length=32 \ cm\\\\breadth =8\ cm\\\\thickness = 2\ cm\end{gathered}

length=32 cm

breadth=8 cm

thickness=2 cm

So the volume of the metal sheet is,

Volume = length\times breadth\times thickness = 32\times 8\times 2 = 512\ cm^3Volume=length×breadth×thickness=32×8×2=512 cm

3

Let aa be the side of the cube. So the volume is,

volume = a^3volume=a

3

Since the volume of the metal sheet and cube are the same, we can equate the volume. So

\begin{gathered}\implies a^3=512\\\\\implies a=\sqrt[3]{512}=8 \ cm\end{gathered}

⟹a

3

=512

⟹a=

3

512

=8 cm

Thus the cube has a side of 8 cm.