Question 314: Thermodynamics & KTG

Question

A monoatomic ideal gas, initially at temperature T
1
is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature T
2
by releasing the piston suddenly. If l
1
and l
2
are the lengths of the gas column, before and after the expansion respectively, then the value of $${{{T_1}} \over {{T_2}}}$$ will be :

Accepted Answer

PV
r
= const.
TV
r $$-$$ 1
= const.
$$T{(l)^{{5 \over 3} - 1}}$$ = const.
$${{{T_1}} \over {{T_2}}} = {\left( {{{{l_2}} \over {{l_1}}}} \right)^{{2 \over 3}}}$$

Answer

$${\left( {{{{l_1}} \over {{l_2}}}} \right)^{{2 \over 3}}}$$

Answer

$${\left( {{{{l_2}} \over {{l_1}}}} \right)^{{2 \over 3}}}$$

Answer

$${{{l_2}} \over {{l_1}}}$$

Answer

$${{{l_1}} \over {{l_2}}}$$

Thermodynamics & KTG

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