During an experiment an ideal gas obeys P²V=constant. Its initial temperature is T and its initial volume is V. When it expands to volume 2V, its temperature becomes:
Options

Question

During an experiment an ideal gas obeys P²V=constant. Its initial temperature is T and its initial volume is V. When it expands to volume 2V, its temperature becomes:

G1 Physics · Accepted Answer

Since P²V is constant, P is proportional to V raised to −1/2. For an ideal gas T is proportional to PV, so T is proportional to √V. When volume doubles, T₂/T₁=√2. Therefore T₂=√2T. Option B.