Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1 atmosphere is equal to ____ kpa = ____ mmhg = ____ torr convert the f…

Question

1 atmosphere is equal to __ kpa = mmhg = __ torr
convert the following to atmospheres:

  1. 560.0 mmhg
  2. 7600 mmhg
  3. 250.0 mmhg
  4. 202.6 kpa
  5. 50.6 kpa
  6. 150.0 kpa

convert the following to kilopascals:

  1. 1.2 atm
  2. 0.86 atm
  3. 3.25 atm
  4. 850 mmhg
  5. 450.0 mmhg
  6. 1560 mmhg
  7. the barometric pressure in breckenridge, colorado (elevation 9600 feet) is 580 mm hg. how many atmospheres is this?

Explanation:

Response

1 atmosphere is equal to 101.325 kPa = 760 mmHg = 760 torr

Step1: Recall conversion factor for mmHg to atm

1 atm = 760 mmHg. To convert mmHg to atm, divide by 760.

1. 560.0 mmHg

$560.0\div760 = 0.737$ atm

2. 7600 mmHg

$7600\div760=10$ atm

3. 250.0 mmHg

$250.0\div760 = 0.329$ atm

10. 850 mmHg

$850\div760 = 1.12$ atm

11. 450.0 mmHg

$450.0\div760 = 0.592$ atm

12. 1560 mmHg

$1560\div760 = 2.05$ atm

13. 580 mmHg

$580\div760 = 0.763$ atm

Step2: Recall conversion factor for atm to kPa

1 atm = 101.325 kPa. To convert atm to kPa, multiply by 101.325.

7. 1.2 atm

$1.2\times101.325 = 121.59$ kPa

8. 0.86 atm

$0.86\times101.325 = 87.14$ kPa

9. 3.25 atm

$3.25\times101.325 = 329.31$ kPa

Step3: Recall conversion factor for kPa to atm

1 atm = 101.325 kPa. To convert kPa to atm, divide by 101.325.

4. 202.6 kPa

$202.6\div101.325 = 2$ atm

5. 50.6 kPa

$50.6\div101.325 = 0.5$ atm

6. 150.0 kPa

$150.0\div101.325 = 1.48$ atm

Answer:

  1. 0.737 atm
  2. 10 atm
  3. 0.329 atm
  4. 2 atm
  5. 0.5 atm
  6. 1.48 atm
  7. 121.59 kPa
  8. 87.14 kPa
  9. 329.31 kPa
  10. 1.12 atm
  11. 0.592 atm
  12. 2.05 atm
  13. 0.763 atm