1. **State the problem:** We are given a fluid density of 3 g/mL and a flow rate of 42 mL/s. We need to find the mass flow rate in g/s.
2. **Formula used:** Mass flow rate $\dot{m}$ is given by the product of density $\rho$ and volumetric flow rate $Q$:
$$\dot{m} = \rho \times Q$$
3. **Substitute the given values:**
$$\dot{m} = 3\ \text{g/mL} \times 42\ \text{mL/s}$$
4. **Calculate the mass flow rate:**
$$\dot{m} = 126\ \text{g/s}$$
5. **Interpretation:** The mass flow rate is 126 grams per second, meaning 126 grams of fluid pass through the pipe every second.
Mass Flowrate 5A3313
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.