If renal plasma flow is 1000 ml/min and filtration fraction is 24%. What will be glomerular filtration rate per hour?

Options

A. 240 ml
B. 1.44 lt.
C. 14.4 ml
D. 14.4 lt.

Answer

To solve the problem, we need to calculate the Glomerular Filtration Rate (GFR) using the given renal plasma flow (RPF) and filtration fraction (FF).

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Renal Plasma Flow (RPF) = 1000 ml/min
- Filtration Fraction (FF) = 24% = 0.24 (as a decimal)

2. **Use the Formula for Filtration Fraction:**
The formula relating GFR, RPF, and FF is:
\[ \text{FF} = \frac{\text{GFR}}{\text{RPF}} \]
Rearranging this formula to find GFR gives us:
\[ \text{GFR} = \text{FF} \times \text{RPF} \]

3. **Substitute the Values into the Formula:**
Substitute the known values into the rearranged formula:
\[ \text{GFR} = 0.24 \times 1000 \text{ ml/min} \]
\[ \text{GFR} = 240 \text{ ml/min} \]

4. **Convert GFR from ml/min to L/hour:**
To convert the GFR from ml/min to liters per hour, we use the conversion factor:
\[ 1 \text{ L} = 1000 \text{ ml} \]
Since there are 60 minutes in an hour, the conversion is:
\[ \text{GFR in L/hour} = 240 \text{ ml/min} \times 60 \text{ min/hour} \div 1000 \text{ ml/L} \]
\[ \text{GFR in L/hour} = 240 \times 60 / 1000 = 14.4 \text{ L/hour} \]

5. **Final Answer:**
Therefore, the Glomerular Filtration Rate (GFR) is **14.4 liters per hour**.