Answer :
To solve the problem of converting 745 mmHg to different units of pressure, we need to use conversion factors to change mmHg into kPa (kilopascals) and atm (atmospheres).
1. Conversion to atm (atmospheres):
- The conversion factor from mmHg to atm is based on the standard atmosphere: 1 atm = 760 mmHg.
- To convert mmHg to atm, divide the given pressure in mmHg by 760:
[tex]\[
\text{Pressure in atm} = \frac{745 \, \text{mmHg}}{760} \approx 0.980 \, \text{atm}
\][/tex]
2. Conversion to kPa (kilopascals):
- The conversion factor from mmHg to kPa comes from knowing that 1 atm = 101.325 kPa. Since 1 atm is also 760 mmHg, we can establish that 760 mmHg = 101.325 kPa.
- To find out how much 1 mmHg is in kPa, you divide 101.325 kPa by 760:
[tex]\[
1 \, \text{mmHg} = \frac{101.325 \, \text{kPa}}{760} \approx 0.133225 \, \text{kPa}
\][/tex]
- Now, convert 745 mmHg to kPa by multiplying by this conversion factor:
[tex]\[
\text{Pressure in kPa} = 745 \times 0.133225 \approx 99.3 \, \text{kPa}
\][/tex]
From these conversions, the pressure of 745 mmHg is approximately 0.980 atm and 99.3 kPa. Therefore, the answer to the question is 0.980 atm.
1. Conversion to atm (atmospheres):
- The conversion factor from mmHg to atm is based on the standard atmosphere: 1 atm = 760 mmHg.
- To convert mmHg to atm, divide the given pressure in mmHg by 760:
[tex]\[
\text{Pressure in atm} = \frac{745 \, \text{mmHg}}{760} \approx 0.980 \, \text{atm}
\][/tex]
2. Conversion to kPa (kilopascals):
- The conversion factor from mmHg to kPa comes from knowing that 1 atm = 101.325 kPa. Since 1 atm is also 760 mmHg, we can establish that 760 mmHg = 101.325 kPa.
- To find out how much 1 mmHg is in kPa, you divide 101.325 kPa by 760:
[tex]\[
1 \, \text{mmHg} = \frac{101.325 \, \text{kPa}}{760} \approx 0.133225 \, \text{kPa}
\][/tex]
- Now, convert 745 mmHg to kPa by multiplying by this conversion factor:
[tex]\[
\text{Pressure in kPa} = 745 \times 0.133225 \approx 99.3 \, \text{kPa}
\][/tex]
From these conversions, the pressure of 745 mmHg is approximately 0.980 atm and 99.3 kPa. Therefore, the answer to the question is 0.980 atm.
