Saved Bookmarks
| 1. |
A uniformpressure.P.is exertedonall sidescubeattemperaturet^(0)C. Bywhatamountshould the temperatureof the cube beraisedin orderto bring its volumeback to the volume it hadbeforethe pressurewas applied, if the bulk modulusand coefficientof volume expansion of the materialare B and gamma respectively. |
|
Answer» <P> Solution :A by definitionfo bulk MODULUS`B= - V((DeltaP)/(DeltaV))`, withincreasein pressure decreasein volumeof the CUBE will be given by `-DeltaV=(VP)/(B)`, (as `DeltaP=P`) Now withrise in temperaturedue to thermalexpansion, volumeincreasesso if .`Deltatheta`. is the RISE in temperature then `DeltaV=V gamma Delta THETA ("as "gamma=(DeltaV)/(V Deltatheta))` As the volume of the cube remainsconstant `(VP)/(B) =Vgamma Delta theta rArr Delta theta =(P)/( gammaB)` |
|