Answer :
To solve the problem of converting 2.150 mmHg to kPa, we need to use the conversion factor between these two units of pressure. The conversion factor from millimeters of mercury (mmHg) to kilopascals (kPa) is approximately 0.133322 kPa per mmHg.
Here's a step-by-step breakdown of how to perform this conversion:
1. Identify the given value:
We are given a pressure of 2.150 mmHg.
2. Use the conversion factor:
The conversion factor is 1 mmHg = 0.133322 kPa.
3. Perform the conversion:
Multiply the pressure in mmHg by the conversion factor to find the pressure in kPa:
[tex]\[
2.150 \, \text{mmHg} \times 0.133322 \, \text{kPa/mmHg} = 0.2866423 \, \text{kPa}
\][/tex]
4. Match the result to one of the given options:
Comparing this result to the provided choices, it doesn't exactly match any of them. This suggests that there might have been a simplification or error in calculation, or the list of options could be incorrect.
However, considering the closest possible approximation, a numerical result of approximately 0.2866423 kPa means none of the options provided, such as 2.83 kPa or others, correspond to this calculation. Hence, currently, there's no exact match among the given choices.
Here's a step-by-step breakdown of how to perform this conversion:
1. Identify the given value:
We are given a pressure of 2.150 mmHg.
2. Use the conversion factor:
The conversion factor is 1 mmHg = 0.133322 kPa.
3. Perform the conversion:
Multiply the pressure in mmHg by the conversion factor to find the pressure in kPa:
[tex]\[
2.150 \, \text{mmHg} \times 0.133322 \, \text{kPa/mmHg} = 0.2866423 \, \text{kPa}
\][/tex]
4. Match the result to one of the given options:
Comparing this result to the provided choices, it doesn't exactly match any of them. This suggests that there might have been a simplification or error in calculation, or the list of options could be incorrect.
However, considering the closest possible approximation, a numerical result of approximately 0.2866423 kPa means none of the options provided, such as 2.83 kPa or others, correspond to this calculation. Hence, currently, there's no exact match among the given choices.