Question

During an experiment an ideal gas is found to obey an additional law PV^2 = constant.The gas is initially at temperature T and volume V,when it expands to volume 2V,the resulting temperature is
(1) T/2
(2) 2T
(3) 2^1/2T
(4) T/2^1/2

Answer 1

Answer on Question #42740, Physics, Molecular Physics — Thermodynamics

During an experiment an ideal gas is found to obey an additional law $PV^{2}=constant$.The gas is initially at temperature T and volume V,when it expands to volume 2V,the resulting temperature is (1) $T/2$ (2) $2T$ (3) $2^{1/2}T$ (4) $T/2^{1/2}$

Solution

For any ideal gas we have

$\frac{pV}{T}=const$

From $pV^{2}=const$ we can conlude that

$TV=const$

Hence, when new volume will be $2V$, new temperature will be $T/2$

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