hi, notaclue!
sorry it took me so long to post my answer for you. i only have dial up service and i was having a problem staying connected to the internet.
i like to use dimensional analysis which is also called the factor label method. in this, you are creating a series of fractions (or ratios) which you are multiplying together. these fractions include numbers along with labels on them, such as 1 gram ("1" is the number and "gram" is the label) and 10 hours ("10" is the number and "hours" is the label). the idea is to manipulate the numerators and denominators of the fractions in order to cancel out the labels on the numbers so you are left with only the labels you want on the final answer. a "gram" in the numerator can be canceled out by a "gram" in the denominator. got the idea?
in the problem you've posed, you want your final answer to have the label of
mg/hr on the final answer with
mg in the numerator and
hr in the denominator. this is how you set the problem up by dimensional analysis. i leave you to actually work the math.
1 gram/10 hours(dose desired)x 1000 mg/1 gram (conversion factor - you have to convert from grams to mgs and this fraction is actually an "identity" and equal to the number "1") = 100 mg/hr(after performing the math and canceling out the repeated labels)
please note that the information about 500ml is not necessary to use in calculating your answer to this problem. now, if the problem had asked you how many ml of the iv solution per hour the patient will receive, then your calculation would be much different and you would need to include the information about the 500ml in your calculation.
hope that helps. welcome to allnurses!