ssm A patient recovering from surgery is being given fluid intravenously. The fluid has a density of 1030 kg/m³, and 9.5 X 10-4 m³ of it flows into the patient every six hours. Find the mass flow rate in kg/s. 55.

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Chapter1: Units, Trigonometry. And Vectors
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Physics Ch. 11 #55

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**Problem 55: Intravenous Fluid Mass Flow Rate**

A patient recovering from surgery is being given fluid intravenously. The fluid has a density of 1030 kg/m³, and 9.5 × 10⁻⁴ m³ of it flows into the patient every six hours. Find the mass flow rate in kg/s.

**Explanation:**

This problem involves determining the mass flow rate of a fluid being administered intravenously to a patient. Given the fluid's density and flow volume over a specified time, the challenge is to calculate the mass flow rate in kilograms per second. 

To find the solution, you'll need to use the concept of mass flow rate:

1. **Calculate the mass of the fluid:**
   - Mass = Density × Volume
   - Mass = 1030 kg/m³ × 9.5 × 10⁻⁴ m³

2. **Convert the flow time from hours to seconds:**
   - Time = 6 hours × 3600 seconds/hour

3. **Calculate the mass flow rate:**
   - Mass Flow Rate = Mass / Time

This problem requires applying basic principles of fluid dynamics and unit conversions, useful for understanding real-world applications in medical scenarios.
Transcribed Image Text:**Problem 55: Intravenous Fluid Mass Flow Rate** A patient recovering from surgery is being given fluid intravenously. The fluid has a density of 1030 kg/m³, and 9.5 × 10⁻⁴ m³ of it flows into the patient every six hours. Find the mass flow rate in kg/s. **Explanation:** This problem involves determining the mass flow rate of a fluid being administered intravenously to a patient. Given the fluid's density and flow volume over a specified time, the challenge is to calculate the mass flow rate in kilograms per second. To find the solution, you'll need to use the concept of mass flow rate: 1. **Calculate the mass of the fluid:** - Mass = Density × Volume - Mass = 1030 kg/m³ × 9.5 × 10⁻⁴ m³ 2. **Convert the flow time from hours to seconds:** - Time = 6 hours × 3600 seconds/hour 3. **Calculate the mass flow rate:** - Mass Flow Rate = Mass / Time This problem requires applying basic principles of fluid dynamics and unit conversions, useful for understanding real-world applications in medical scenarios.
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