Final answer:
To find out how much fluid a 6 kg cat will receive after 5 hours with an IV rate of 40 ml/kg/day, we first convert the daily rate to an hourly rate and multiply by the cat's weight. The cat will receive 50 ml of fluid after 5 hours.
Step-by-step explanation:
To calculate how much fluid a 6 kg cat will receive intravenously after 5 hours when the fluid is administrated at a rate of 40 ml/kg/day, we first need to convert the rate into an hourly rate. Since there are 24 hours in a day, we divide the daily rate by 24:
40 ml/kg/day ÷ 24 hours/day = 1.6667 ml/kg/hour
Now, we multiply this hourly rate by the weight of the cat:
1.6667 ml/kg/hour × 6 kg = 10 ml/hour
Having the hourly rate, we can now calculate the amount of fluid after 5 hours:
10 ml/hour × 5 hours = 50 ml
Therefore, the cat will receive 50 ml of fluid after 5 hours of IV administration.