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minutes of videosAn α particle, ^{4}H^{2+}, has a mass of 4.00151 amu. Find the value of its charge-to-mass ratio in C/kg.

Hey guys, in this question they talk first about an alpha particle now here the alpha particle they're talking about is Helium 4 so it's atomic mass is 4 it has a +2 charge, they tell that it has a mass of 4.00151 AMU and what we need to figure out here is the charge to mass ratio so C here represents Coulombs or charge and here it's just mass kilograms, right? So we need to find the charge to mass ratio, we're going to need room to work this out guys so let me take myself out of the image, alright so we're given the mass of Helium we're going to say here that 1 atomic mass unit is equivalent to 1.66054x10^-27 kilograms so we're going to convert the AMUs that they give to us into kilograms so we put AMU here on the bottom 1 AMU is 1.66054x10^-27 kilograms so AMU cancel out now we have kilograms so that gives me 6.64467x10^-27 kilograms.

Now here we need to find the charge to mass ratio so that means we're dealing with the oil drop test Millikan's oil drop test so basically in this experiment he was able to determine the charge of an electron and that charge came out to be -1.60x10^-19 coulombs and here if we're taking a look at Helium, Helium has an atomic number of 2, right? So that means when it's neutral it has 2 electrons and 2 protons but +2 means we've lost 2 electrons those 2 electrons that we've lost each one has that charge, so it means that their combined number their combined charge is this. So now we know what the combined charge is we know what the kilograms because we changed AMU into kilograms and now we can solve for our question. Here we'll keep the answer in absolute terms so it will be a positive answer divided by the mass so that is gives me 4.82x10^7 charge or coulombs per kilogram. So that is the approach we would take to go from the information given to a charge to mass ratio.

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