Solved PRESSURE UNIT CONVERSION WORKSHEET Directions: a) | Chegg.com - Free Printable

Let’s work through each problem step by step. We’ll use standard conversion factors:

- 1 atm = 101.325 kPa
- 1 atm = 760 mm Hg
- 1 mm Hg = 1 torr (they’re the same)
- So, 1 kPa ≈ 7.50062 mm Hg (but we’ll use 760/101.325 for accuracy)
- For temperature:
- K to °C: subtract 273.15
- °C to K: add 273.15

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Problem 1: Convert 0.93 atm to kilopascals

We know:
1 atm = 101.325 kPa
So:
0.93 × 101.325 = ?

Let’s calculate:
0.93 × 100 = 93
0.93 × 1.325 = about 1.23225
Total ≈ 93 + 1.23225 = 94.23225 → round to 2 decimal places? Let’s do exact:

0.93 × 101.325 =
= (93/100) × 101.325
= 93 × 1.01325
= let’s compute:
90 × 1.01325 = 91.1925
3 × 1.01325 = 3.03975
Total = 94.23225 → 94.23 kPa (rounded to two decimals)

✔ Answer: 94.23 kPa

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Problem 2: Convert 710 mm Hg to atmospheres

We know:
760 mm Hg = 1 atm
So:
710 ÷ 760 = ?

Calculate:
710 ÷ 760 = 71/76 ≈ 0.93421...

Round to 3 decimal places: 0.934 atm

✔ Answer: 0.934 atm

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Problem 3: Convert 755 mm Hg to atmospheres

Same as above:
755 ÷ 760 = ?

755 ÷ 760 = 151/152 ≈ 0.99342...

Round to 3 decimal places: 0.993 atm

✔ Answer: 0.993 atm

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Problem 4: Convert 72 kPa to mm Hg

We know:
101.325 kPa = 760 mm Hg
So:
72 kPa × (760 mm Hg / 101.325 kPa) = ?

First, compute 760 / 101.325 ≈ 7.50062

Then:
72 × 7.50062 ≈ ?

70 × 7.50062 = 525.0434
2 × 7.50062 = 15.00124
Total ≈ 540.04464 → 540.04 mm Hg (rounded to 2 decimals)

Alternatively, exact fraction:

72 × 760 / 101.325
= (72 × 760) / 101.325
= 54720 / 101.325 ≈ 540.04

✔ Answer: 540.04 mm Hg

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Problem 5: Convert 452 torr to kPa

Note: 1 torr = 1 mm Hg
And 760 mm Hg = 101.325 kPa

So:
452 × (101.325 / 760) = ?

First, 101.325 / 760 ≈ 0.133322

Then:
452 × 0.133322 ≈ ?

450 × 0.133322 = 59.9949
2 × 0.133322 = 0.266644
Total ≈ 60.2615 → 60.26 kPa

Or exact:
(452 × 101.325) / 760
= 45808.9 / 760 ≈ 60.27487 → wait, let me recalculate:

452 × 101.325 =
450 × 101.325 = 45596.25
2 × 101.325 = 202.65
Total = 45798.9

Now divide by 760:
45798.9 ÷ 760 = ?

760 × 60 = 45600
Subtract: 45798.9 - 45600 = 198.9
198.9 ÷ 760 ≈ 0.2617
So total ≈ 60.2617 → 60.26 kPa

✔ Answer: 60.26 kPa

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Problem 6: Convert 145.53 kPa to atm

We know:
101.325 kPa = 1 atm
So:
145.53 ÷ 101.325 = ?

Calculate:
145.53 ÷ 101.325 ≈ ?

101.325 × 1.4 = 141.855
145.53 - 141.855 = 3.675
3.675 ÷ 101.325 ≈ 0.03627
So total ≈ 1.43627 → 1.436 atm (rounded to 3 decimals)

More precisely:
145.53 / 101.325 = 1.43627... → 1.436 atm

✔ Answer: 1.436 atm

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Temperature Conversions:

Problem 7: 298 K to °C

Formula: °C = K - 273.15
298 - 273.15 = 24.85 → 24.85 °C

✔ Answer: 24.85 °C

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Problem 8: 77 K to °C

77 - 273.15 = -196.15 → -196.15 °C

✔ Answer: -196.15 °C

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Problem 9: -57 °C to K

K = °C + 273.15
-57 + 273.15 = 216.15 → 216.15 K

✔ Answer: 216.15 K

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Problem 10: 45°C to K

45 + 273.15 = 318.15 → 318.15 K

✔ Answer: 318.15 K

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Final Answer:
1. 94.23 kPa
2. 0.934 atm
3. 0.993 atm
4. 540.04 mm Hg
5. 60.26 kPa
6. 1.436 atm
7. 24.85 °C
8. -196.15 °C
9. 216.15 K
10. 318.15 K