Question

An ideal gas is found to obey an additional law pv2 = constant. The gas is initially at temperature t and volume v. Then it expands to a volume 2 v, the temperature becomes

Answer 1

Solution

For any ideal gas we have

pV/T=const  (Use boyle's and charles's lw to get this value)

From pV^2=constwe can conlude that

T V=const  (by putting the value of p=T/V)

Hence, when new volume will be 2V, new temperature will beT/2 so that the equation even on increasing volume remains constant.

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