in this video i will talk about the coefficient of the volume expansion whenever we have a material like a rod or a sphere a disc and when you hit it it expands even a liquid when you hit a liquid it expands so how do you calculate it or how do you find out what is the change in the volume of the liquid or the sphere or or a cylinder and we're going to do it in this video so let's say you have a box a cubicle box the length width and the height is given and after hitting this one the length changes the wood changes the height changes and now we have a new volume and that volume we call the final volume vf stands for the the final volume and this final volume is equal to the initial volume plus there is a change in the volume the delta v the the volume expansion coefficient is defined as a change in a volume per unit original volume but you know change in the temperature okay so this is the way it is defined the change in volume divided by the original volume divided by the delta t is called the volume expansion coefficient and it is denoted by the term beta beta is called the volume expansion coefficient and remember delta v is the change in volume which is given by the final volume minus initial volume delta t is the change in temperature which is df minus ti and if you look at the unit the unit the delta v and the v has the same unit so the unit of beta will be 1 over degree celsius or degree kelvin whatever unit you prefer in a degree the one over degree celsius or one over kelvin so here the unit is one over degree celsius and from this equation you can also calculate the change in volume v2 the change in the volume would be equal to beta the original volume times the delta t this is the this is the formula here to calculate the change in the volume and you can simply calculate from this equation and here i have not done mathematically but i would like to point you uh one note to you that this volume expansion coefficient is approximately not exactly is equal to three times the change or the three times the linear expansion coefficient alpha okay so what does that mean that means when you increase the temperature the length expands the width expands the height expands so if you know the linear expansion coefficient of a certain material then you can simply multiply by 3 to get the volume expansion coefficient okay so this formula how do i get this one i have calculated this one in one video and i will post the link and in the description section below if you look at the the list for the material of the linear coefficient and volume coefficient it is listed here so for aluminum we generally use the average linear coefficient and all the values are given here and this is for the liquid and gases we measure with the volume expansion coefficient and it is listed here okay for a solid material we generally use the average linear coefficient and for the liquid liquidated gases we use the volume expansion coefficient okay so this is it for the coefficient of volume expansion if you have any questions write down your questions in the comment section below and do not forget to like share and subscribe the channel thank you very much