Answer :
Final answer:
To convert 2,150 mmHg to kPa, a direct proportion method is used with the standard conversion factor that 760 mmHg equals 101.325 kPa, resulting in 287 kPa. This calculation demonstrates how to accurately convert between different units of pressure, which is essential in physics and engineering.
Explanation:
To convert pressure from mmHg to kPa, we can use the conversion factors that relate these two units. We know from the provided references that 760 mmHg equals 101.325 kPa, which is a standard atmospheric pressure. This relationship allows us to set up a proportion to find out how many kPa are in 2,150 mmHg.
Given: 760 mmHg = 101.325 kPa
Find: ? kPa in 2,150 mmHg
Using direct proportion:
- 760 mmHg / 101.325 kPa = 2,150 mmHg / x kPa
By rearranging the equation to solve for x (kPa), we get:
x = (2,150 mmHg × 101.325 kPa) / 760 mmHg
x = 287 kPa
Therefore, there are 287 kPa in 2,150 mmHg. This conversion is vital for various applications in physics and engineering where pressure measurements need to be accurate and interchangeable between different units.