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During an experiment, an ideal gas is found to obey an additional law `VP^2=constant,` The gas is initially at a temperature T, and volume V. When it expands to a volume `2V,` the temperature becomes……. |
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Answer» `PV=RT` (ideal gas equation) `implies P=(RT)/(V)` (i) Given that `VP^(2)=`constant (ii) From Eqs. (i) and (ii), `Vxx(R^(2)T^(2))/(V^(2))=`constant `(T^(2))/(V)` =Constant `(T_(1)^(2))/(V_(1))=(T_(2)^(2))/(V_(2))` `implies T_(2)=T_(1)sqrt((V_(2))/(V_(1)))=Tsqrt((2V)/(V))=sqrt(2)T`. |
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