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.)

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.)

Transcript text: 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

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.

Step 1: Determine Concentration

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:

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

Step 2: Calculate Required Volume

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

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

Step 3: Round the Volume

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

\[ V_{\text{rounded}} = 0.1 \, \text{mL} \]