Boyles Law and Charles Law worksheet - Free Printable

Explanation:
Let’s solve each conversion step by step.

Part 1: Temperature conversions

We use:
- Celsius to Kelvin: K = °C + 273
- Kelvin to Celsius: °C = K − 273

1. Convert 37 °C to K:
K = 37 + 273 = 310 K

2. Convert 8 °C to K:
K = 8 + 273 = 281 K

3. Convert −210 °C to K:
K = −210 + 273 = 63 K

4. Convert 350 °C to K:
K = 350 + 273 = 623 K

5. Convert 37 K to °C:
°C = 37 − 273 = −236 °C

6. Convert 190 K to °C:
°C = 190 − 273 = −83 °C

7. Convert 365 K to °C:
°C = 365 − 273 = 92 °C

8. Convert 600 K to °C:
°C = 600 − 273 = 327 °C

✔ Double-check a few:
- −210 + 273 = 63 ✔️
- 365 − 273 = 92 ✔️
- 600 − 273 = 327 ✔️

Part 2: Pressure conversions

We use:
- Atm to Pa: Pa = Atm × 101,325
- Pa to Atm: Atm = Pa ÷ 101,325

1. Convert 2.0 Atm to Pa:
Pa = 2.0 × 101,325 = 202,650 Pa

2. Convert 0.033 Atm to Pa:
Pa = 0.033 × 101,325
Let’s compute:
0.03 × 101,325 = 3,039.75
0.003 × 101,325 = 303.975
So total = 3,039.75 + 303.975 = 3,343.725 Pa
(Rounded to nearest whole number if needed: 3,344 Pa, but we’ll keep exact as per calculation.)

Actually, better to do directly:
0.033 × 101,325 =
101,325 × 33 / 1000 =
(101,325 × 33) = let’s compute:
100,000 × 33 = 3,300,000
1,325 × 33 = 1,325 × 30 + 1,325 × 3 = 39,750 + 3,975 = 43,725
Total = 3,300,000 + 43,725 = 3,343,725
Divide by 1000 → 3,343.725 Pa
So answer: 3,343.725 Pa (or 3,344 Pa if rounding to nearest Pa — but since input has 3 sig figs, 3,340 Pa or 3.34 × 10³ Pa is appropriate; however, the worksheet likely expects exact multiplication.)

Since the problem gives values like 0.033 (3 sig figs), and 101,325 is exact (definition), we can keep 3,343.725 → but for simplicity in school worksheets, often they accept 3,344 Pa. Let’s verify with calculator-style:
101325 × 0.033 = 3343.725 → yes.

3. Convert 3.75 Atm to Pa:
3.75 × 101,325
Break it:
3 × 101,325 = 303,975
0.75 × 101,325 = (3/4) × 101,325 = 75,993.75
Add: 303,975 + 75,993.75 = 379,968.75 Pa

4. Convert 85,000 Pa to Atm:
Atm = 85,000 ÷ 101,325
≈ 0.8389 → round to 4 decimal places? Let’s compute:
85,000 / 101,325 ≈
Use division: 101,325 × 0.838 = 101,325 × 0.8 = 81,060;
101,325 × 0.038 = ~3,850.35 → total ≈ 84,910.35
Close. Try 0.839: 101,325 × 0.839 = 81,060 + 101,325×0.039 = 81,060 + 3,951.675 = 85,011.675 — slightly over.
So 85,000 / 101,325 ≈ 0.8389 Atm
Usually, 2–3 sig figs: 85,000 has 2 sig figs (if written as 85,000 without decimal), but likely 2 or 3. We’ll give 0.839 Atm (3 sig figs).

5. Convert 450,100 Pa to Atm:
450,100 ÷ 101,325 ≈
Let’s divide:
101,325 × 4 = 405,300
Subtract: 450,100 − 405,300 = 44,800
44,800 / 101,325 ≈ 0.442
So total ≈ 4.442 Atm
More precisely: 450100 / 101325 =
Use calculator logic:
101325 × 4.44 = 101325 × 4 = 405300; 101325 × 0.44 = 44,583
Sum = 405,300 + 44,583 = 449,883
Difference: 450,100 − 449,883 = 217
217 / 101,325 ≈ 0.00214
So total ≈ 4.4421 Atm → round to 4.44 Atm (3 sig figs)

6. Convert 7,200 Pa to Atm:
7,200 ÷ 101,325 ≈
7200 / 101325 =
≈ 0.07106 → 0.0711 Atm (3 sig figs)

But wait — many school worksheets expect answers using the exact factor and rounding to reasonable decimals (often 2 or 3 sig figs). Let’s list all final answers cleanly:

Temperature:
- 37 °C → 310 K
- 8 °C → 281 K
- −210 °C → 63 K
- 350 °C → 623 K
- 37 K → −236 °C
- 190 K → −83 °C
- 365 K → 92 °C
- 600 K → 327 °C

Pressure:
- 2.0 Atm → 202,650 Pa
- 0.033 Atm → 3,343.725 Pa → typically written as 3,344 Pa (nearest whole number)
- 3.75 Atm → 379,968.75 Pa → 379,969 Pa or 3.80 × 10⁵ Pa
- 85,000 Pa → 0.8389 Atm → 0.839 Atm
- 450,100 Pa → 4.442 Atm → 4.44 Atm
- 7,200 Pa → 0.07106 Atm → 0.0711 Atm

However, looking at the worksheet format (blank boxes), they likely expect simple numeric answers, possibly without commas, and maybe rounded to whole numbers for Pa when reasonable.

Let me re-evaluate expectations:
- For temperature, all are integers — no issue.
- For pressure:
- 2.0 Atm → 202650 Pa (no comma in box)
- 0.033 Atm → 3343.725 → but maybe they expect 3344
- 3.75 Atm → 379968.75 → maybe 379969 or 3.80e5 — but worksheet uses plain numbers, so likely 379969
- 85000 Pa → 0.839 (3 decimal places)
- 450100 Pa → 4.44
- 7200 Pa → 0.0711

But to match typical high school worksheet precision, let’s use:
- Pa answers as whole numbers (since Pa is integer unit)
- Atm answers to 3 significant figures or 3 decimal places if small.

Final decision (clean, consistent):
- 2.0 Atm → 202650
- 0.033 Atm → 3344
- 3.75 Atm → 379969
- 85000 Pa → 0.839
- 450100 Pa → 4.44
- 7200 Pa → 0.0711

Yes.

Final Answer:
310
281
63
623
−236
−83
92
327
202650
3344
379969
0.839
4.44
0.0711