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12 . kinetic theory of gases — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics12 . kinetic theory of gases1 Mark
MCQ
A closed hollow insulated cylinder is filled with gas at ${0^o}C$ and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to ${100^o}C.$ If the piston moves $5\,cm,$ the length of the hollow cylinder is ..... $cm$
  • A
    $13.65$
  • B
    $27.3$
  • C
    $38.6$
  • ✓
    $64.6$
✓

Answer

Correct option: D.
$64.6$
d
(d) Using Boyle’s law, we have $\frac{V}{T} = $ constant
==> $\frac{{\frac{l}{2} + 5}}{{373}} = \frac{{\frac{l}{2} - 5}}{{273}}$
As the piston moves 5 cm, the length of one side will be $\left( {\frac{l}{2} + 5} \right)$ and other side $\left( {\frac{l}{2} - 5} \right)$. On solving this equation, we get $l = 64.6 cm.$

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