During an experiment, an ideal gas found to obey an additional law $P V^{2} = c o n s t a n t$ . The gas is initially at temperature T and volume V. when it expands to volume 2V ,Temperature is $T_{2} = T_{1} / n$ .value of n is_________.

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Solution

Ideal gas equation :

$P V = n R T$

and also it follows $P V^{2} = c o n s t a n t$

by these equations, it can be concluded that :

$R T V^{2} / V = T V = c o n s t a n t$

So when the volume becomes double, temperature becomes half and the value of n is 2.

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During an experiment, an ideal gas found to obey an additional law PV2=constant. The gas is initially at temperature T and volume V. when it expands to volume 2V ,Temperature is T2=T1/n.value of n is_________.

Ideal gas equation :PV=nRTand also it follows PV2=constantby these equations, it can be concluded that :RTV2/V=TV=constantSo when the volume becomes double, temperature becomes half and the value of n is 2.

During an experiment, an ideal gas found to obey an additional law $P V^{2} = c o n s t a n t$ . The gas is initially at temperature T and volume V. when it expands to volume 2V ,Temperature is $T_{2} = T_{1} / n$ .value of n is_________.

Ideal gas equation :

$P V = n R T$

and also it follows $P V^{2} = c o n s t a n t$

by these equations, it can be concluded that :

$R T V^{2} / V = T V = c o n s t a n t$

So when the volume becomes double, temperature becomes half and the value of n is 2.