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Temperature Scales in achieve 3000
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Do you mean the topic “Temperature Scales” as covered in an Achieve3000 article (or homework)? I can: summarize the concept, explain the three common scales, give conversion formulas, show worked examples, and make practice problems or a short lesson/activity tailored to the Achieve3000 reading level. Which would you like?
Below is a concise ready-to-use summary plus conversions, examples, and practice problems you can use immediately.
Quick summary
- Temperature measures how hot or cold something is; it reflects average kinetic energy of particles.
- Three common scales: Celsius (°C), Fahrenheit (°F), and Kelvin (K).
- Celsius: used in most of the world; water freezes at 0 °C and boils at 100 °C (at 1 atm).
- Fahrenheit: used mainly in the U.S.; water freezes at 32 °F and boils at 212 °F.
- Kelvin: absolute scale used in science; 0 K is absolute zero (no particle motion). Kelvin and Celsius differ only by an offset: K = °C + 273.15.
Conversion formulas
- Celsius ↔ Fahrenheit:
- °C = (°F − 32) × 5/9
- °F = °C × 9/5 + 32
- Celsius ↔ Kelvin:
- K = °C + 273.15
- °C = K − 273.15
- Fahrenheit ↔ Kelvin (combined):
- K = (°F − 32) × 5/9 + 273.15
- °F = (K − 273.15) × 9/5 + 32
Worked examples
1) Convert 68 °F to °C:
°C = (68 − 32) × 5/9 = 36 × 5/9 = 20 °C.
2) Convert 25 °C to °F:
°F = 25 × 9/5 + 32 = 45 + 32 = 77 °F.
3) Convert −10 °C to Kelvin:
K = −10 + 273.15 = 263.15 K.
Quick facts to remember
- Water: 0 °C = 32 °F = 273.15 K (freezing); 100 °C = 212 °F = 373.15 K (boiling).
- Absolute zero: 0 K = −273.15 °C = −459.67 °F.
Practice problems (answers below)
1) Convert 104 °F to °C.
2) Convert 0 °C to °F.
3) Convert 300 K to °C.
4) Convert −40 °C to °F.
5) Convert 77 °F to K.
Answers
1) 40 °C
2) 32 °F
3) 26.85 °C (300 − 273.15)
4) −40 °F (−40 is the same in both)
5) 298.71 K (77 − 32 = 45; 45 × 5/9 = 25; 25 + 273.15 = 298.15 K — or use exact decimals: 298.15 K)
Would you like:
- a lesson plan or reading-level summary for Achieve3000 students?
- step-by-step help with a specific Achieve3000 assignment or question?
Below is a concise ready-to-use summary plus conversions, examples, and practice problems you can use immediately.
Quick summary
- Temperature measures how hot or cold something is; it reflects average kinetic energy of particles.
- Three common scales: Celsius (°C), Fahrenheit (°F), and Kelvin (K).
- Celsius: used in most of the world; water freezes at 0 °C and boils at 100 °C (at 1 atm).
- Fahrenheit: used mainly in the U.S.; water freezes at 32 °F and boils at 212 °F.
- Kelvin: absolute scale used in science; 0 K is absolute zero (no particle motion). Kelvin and Celsius differ only by an offset: K = °C + 273.15.
Conversion formulas
- Celsius ↔ Fahrenheit:
- °C = (°F − 32) × 5/9
- °F = °C × 9/5 + 32
- Celsius ↔ Kelvin:
- K = °C + 273.15
- °C = K − 273.15
- Fahrenheit ↔ Kelvin (combined):
- K = (°F − 32) × 5/9 + 273.15
- °F = (K − 273.15) × 9/5 + 32
Worked examples
1) Convert 68 °F to °C:
°C = (68 − 32) × 5/9 = 36 × 5/9 = 20 °C.
2) Convert 25 °C to °F:
°F = 25 × 9/5 + 32 = 45 + 32 = 77 °F.
3) Convert −10 °C to Kelvin:
K = −10 + 273.15 = 263.15 K.
Quick facts to remember
- Water: 0 °C = 32 °F = 273.15 K (freezing); 100 °C = 212 °F = 373.15 K (boiling).
- Absolute zero: 0 K = −273.15 °C = −459.67 °F.
Practice problems (answers below)
1) Convert 104 °F to °C.
2) Convert 0 °C to °F.
3) Convert 300 K to °C.
4) Convert −40 °C to °F.
5) Convert 77 °F to K.
Answers
1) 40 °C
2) 32 °F
3) 26.85 °C (300 − 273.15)
4) −40 °F (−40 is the same in both)
5) 298.71 K (77 − 32 = 45; 45 × 5/9 = 25; 25 + 273.15 = 298.15 K — or use exact decimals: 298.15 K)
Would you like:
- a lesson plan or reading-level summary for Achieve3000 students?
- step-by-step help with a specific Achieve3000 assignment or question?
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