Pressure conversion practice Please convert and show work Ex. 1 atm = 760 mm Hg 101.3 kPa = 14.70 psi 760 torr = 101300 pa 1. 463 torr = kPa 2. 1.5 atm = psi 3. 120 kPa = _ mmHg 4. 250 mmHg = _ atm 5. 150,000 Pa = torr 6. 26.5 psi = mm Hg 7. 86 cm Hg =_ kPa 8. 900 torr = __ atm
The Correct Answer and Explanation is:
Conversion Factors:
- 1 atm = 760 mm Hg = 760 torr = 101.3 kPa = 14.70 psi = 101300 Pa
1. 463 torr = ______ kPa
101.3 kPa760 torr×463 torr=101.3×463760=61.7 kPa\frac{101.3\ \text{kPa}}{760\ \text{torr}} \times 463\ \text{torr} = \frac{101.3 \times 463}{760} = 61.7\ \text{kPa}760 torr101.3 kPa×463 torr=760101.3×463=61.7 kPa
Answer: 61.7 kPa
2. 1.5 atm = ______ psi
1.5 atm×14.70 psi1 atm=1.5×14.70=22.05 psi1.5\ \text{atm} \times \frac{14.70\ \text{psi}}{1\ \text{atm}} = 1.5 \times 14.70 = 22.05\ \text{psi}1.5 atm×1 atm14.70 psi=1.5×14.70=22.05 psi
Answer: 22.05 psi
3. 120 kPa = ______ mm Hg
760 mmHg101.3 kPa×120 kPa=760×120101.3=899.03 mm Hg\frac{760\ \text{mmHg}}{101.3\ \text{kPa}} \times 120\ \text{kPa} = \frac{760 \times 120}{101.3} = 899.03\ \text{mm Hg}101.3 kPa760 mmHg×120 kPa=101.3760×120=899.03 mm Hg
Answer: 899.03 mm Hg
4. 250 mm Hg = ______ atm
1 atm760 mmHg×250 mmHg=250760=0.329 atm\frac{1\ \text{atm}}{760\ \text{mmHg}} \times 250\ \text{mmHg} = \frac{250}{760} = 0.329\ \text{atm}760 mmHg1 atm×250 mmHg=760250=0.329 atm
Answer: 0.329 atm
5. 150,000 Pa = ______ torr
760 torr101300 Pa×150000 Pa=760×150000101300=1125.6 torr\frac{760\ \text{torr}}{101300\ \text{Pa}} \times 150000\ \text{Pa} = \frac{760 \times 150000}{101300} = 1125.6\ \text{torr}101300 Pa760 torr×150000 Pa=101300760×150000=1125.6 torr
Answer: 1125.6 torr
6. 26.5 psi = _____ mm Hg
760 mmHg14.70 psi×26.5 psi=760×26.514.70=1369.4 mm Hg\frac{760\ \text{mmHg}}{14.70\ \text{psi}} \times 26.5\ \text{psi} = \frac{760 \times 26.5}{14.70} = 1369.4\ \text{mm Hg}14.70 psi760 mmHg×26.5 psi=14.70760×26.5=1369.4 mm Hg
Answer: 1369.4 mm Hg
7. 86 cm Hg =______ kPa
First, convert cm Hg to mm Hg:
86 cm = 860 mm Hg
Now convert mm Hg to kPa:101.3 kPa760 mmHg×860=101.3×860760=114.7 kPa\frac{101.3\ \text{kPa}}{760\ \text{mmHg}} \times 860 = \frac{101.3 \times 860}{760} = 114.7\ \text{kPa}760 mmHg101.3 kPa×860=760101.3×860=114.7 kPa
Answer: 114.7 kPa
8. 900 torr = ______ atm
1 atm760 torr×900=900760=1.18 atm\frac{1\ \text{atm}}{760\ \text{torr}} \times 900 = \frac{900}{760} = 1.18\ \text{atm}760 torr1 atm×900=760900=1.18 atm
Answer: 1.18 atm
Explanation (Summary):
Pressure can be measured in many units including torr, mmHg, atm, kPa, psi, and Pa. To convert between these units, you use known ratios or conversion factors. For example, 1 atmosphere is equivalent to 760 mm Hg or 101.3 kilopascals.
To convert, multiply the given value by a fraction that cancels out the original unit and introduces the desired one. For example, to go from torr to kPa, multiply by 101.3 and divide by 760. This approach keeps the conversion logical and dimensional analysis consistent. Being precise with the factors helps avoid mistakes and ensures the correct final units.
