Questions: A nurse is preparing to administer purified protein derivative 5 tuberculin units (TU) intradermal to a client. Available is 5 TU/0.1 mL . How many mL should the nurse administer? (Round the answer to the nearest tenth. Use a leading zero if it applies. Do not use a trailing zero.)

Solution Steps

To determine the volume in mL that the nurse should administer, we need to set up a proportion based on the given concentration. The concentration is 5 TU per 0.1 mL. We need to find out how many mL are needed for 5 TU.

The concentration of the purified protein derivative is given as $5 \, \text{TU}$ per $0.1 \, \text{mL}$. To find the concentration in terms of TU per mL, we calculate:

$$\text{Concentration} = \frac{5 \, \text{TU}}{0.1 \, \text{mL}} = 50 \, \text{TU/mL}$$

We need to find the volume $V$ in mL that corresponds to $5 \, \text{TU}$. Using the formula:

$$V = \frac{\text{Required TU}}{\text{Concentration}} = \frac{5 \, \text{TU}}{50 \, \text{TU/mL}} = 0.1 \, \text{mL}$$

The calculated volume is already at one decimal place, so rounding $0.1 \, \text{mL}$ gives:

$$V_{\text{rounded}} = 0.1 \, \text{mL}$$

Final Answer