Question

Using dimensional analysis:

Client Intake:

8oz coffee with 2 tsp creamer

4 oz of water

IV fluid infusing at 50 mL/hr over 8 hours.

Answer 1

Solution:-

8 oz coffee with 2 tsp creamer:-

1 oz = 29.574 ml

or, 8 oz = 29.574 × 8 ml

= 236.59 ml

Now, 1 tsp(teaspoon) = 4.93 ml

or, 2 tsp = 4.93×2 ml

= 9.86 ml

So, total fluid in 8 oz coffee with 2 tsp creamer = 236.59 ml + 9.86 ml

=246.45 ml

4 oz of water :-

1 oz = 29.574 ml

or, 4 oz = 29.574 × 4 ml

= 118.296 ml

Hence, 4 oz water = 118.296 ml

IV fluid infusing at 50 mL/hr over 8 hours :-

given, infusion rate = 50 ml/hr

Infusion time = 8 hour

Infusion rate = volume of fluid infused / infusion time

or, volume of fluid infused = infusion rate × infusion time

= 50 ml/hr × 8 hr

= 400 ml

So, total fluid intake by the client = 246.45 ml + 118.296 ml + 400 ml

= 764.75 ml

= 765 ml [ rounded to nearest whole number]

Therefore, client intake = 765 ml