a. What volume of water has the same mass as 8.0 m³ of ethyl alcohol?

Video transcript

Hi everyone. In this practice problem, we will have a tank containing 12 m cube of glycerine with a row of 1000 260 kg per meter cube. And we'll be asked what volume of mercury with a density or row of 13,500 kg per meter cube will have the same mass as the glycerine in the tank. The options given are a 100 and 29 m cube. B 0.896 m cube, C 0.00775 m cube and lastly D 1.12 m cube. So in this problem, we are going to use the equation of row equals to mass divided by volume where row is the density M is the mass and V is the volume. This means through rearrangement volume will be calculated by taking the mass and dividing that by the density or row. So we are looking for a mercury volume with the same volume of 12 m cube as the glycerine. So we denote the mercury with M and glycerine with G. So in this case PM, which will be equals to mm divided by row M and PG will be equals to MG divided by row G just like. So the mass is going to be the same. So mm will be equals to MG. So in this case, what we wanna do is to rearrange our equation earlier so that we'll get for mmmm will be equals to VM multiplied by row M and MG will be equals to VG multiplied by row G. So let's actually substitute all of our information that we know in order to finally get the volume for mercury. So VM is unknown row M is given to be 13,500 kg per meter cube equals to volume of glycerine which is 12 m cube multiplied by row, which is 1000 260 kg per meter cube. And then that will give us the volume of mercury didn't be equal to 1.12 m cube and the volume of mercury will be then the same as the mass of glycerine in the tank which will then be equal to 1.12 m cube. So in this case, the final answer that we are getting or the final answer for this problem is going to be 1.12 m cube which is corresponding to option D in our answer choices. So 1.12 m cube of mercury will have the same mass as the total glycerine in the tank. So there we have it if you guys still have any sort of confusion. Please feel free to check out our adolescent videos on similar topics available on our website. But other than that, that will be it for this video and thank you so much for watching. Bye bye.