Convert between Celsius, Kelvin and Fahrenheit

Grade 10 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari's balloon holds 2 L at 20 °C. At constant pressure, what is its volume at 60 °C, to 0.01 L?

  2. Bo's balloon holds 3 L at 27 °C. At constant pressure, what is its volume at 127 °C, to 0.01 L?

  3. A syringe of air at constant pressure warms from 20 °C to 40 °C. Does its volume double, Jun?

    • No: the volume falls, because warm gas is lighter than cold gas
    • No: 293.15 K to 313.15 K is a rise of about 7%, so the volume rises about 7%
    • Yes: 40 is double 20, so the volume doubles as well
  4. A rigid tank of gas starts at 27 °C. Its pressure doubles. What is the new temperature, Kira?

    • 327 °C, since doubling 300 K gives 600 K
    • 600 °C, since doubling 300 gives 600 and the unit is unchanged
    • 54 °C, since doubling 27 °C gives 54 °C in the same way
  5. A gas doubles in volume when warmed from 0 °C to 273 °C. Does it double again from 100 °C to 373 °C, Luz?

    • No: 100 °C is 373 K, so doubling needs 746 K; 373 °C is only 646 K
    • Yes: a rise of 273 °C doubles a gas's volume from any start
    • Yes: both rises are 273 °C, so the volume doubles again from the new start
  6. Read this first

    Volume of a gas at constant pressure (example data)

    temperature (°C)volume (mL)
    −2025.3
    027.3
    2029.3
    4031.3
    6033.3
    8035.3
  7. How much does the gas volume change for each °C of warming in the table, Milo?

    • 0.2 mL per °C, since each row adds 2.0 mL in 10 °C
    • 2.0 mL per °C, the rise between two rows
    • 0.10 mL per °C: it rises 2.0 mL for each 20 °C
  8. Extend the table's straight line downward. Where would the volume reach zero, Noah?

    • Near −273 °C, where a straight line through the data reaches zero volume
    • At −27.3 °C, because the volume falls by 1 mL for each °C
    • Below −400 °C, because gas volumes shrink more slowly when cold
  9. Scale Y puts freezing water at 10 °Y and boiling water at 130 °Y. How big is a 30 °C warming in °Y, Ren?

    • 36 °Y, since one °C equals 1.2 °Y
    • 46 °Y, since the 10 °Y offset is added to 36
    • 30 °Y, since a degree is a degree on any scale
  10. On scale Y (freezing 10 °Y, boiling 130 °Y), a thermometer reads 50 °Y. What is that in °C, Tala?

    • 33.3 °C: subtract 10, then divide by 1.2
    • 41.7 °C: divide by 1.2 but forget to subtract 10
    • 40 °C: subtract 10 but forget to divide by 1.2
  11. Which equations need kelvins, Zee?

    • q = mcΔT needs kelvins, but PV = nRT works with °C readings
    • PV = nRT needs kelvins; q = mcΔT works with a change in °C or in K
    • Neither needs kelvins, since °C can replace K in any formula
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Convert between Celsius, Kelvin and Fahrenheit

Answer Key - Grade 10 Science Worksheet

Circle the best answer, or write your answer on the line.

  1. Ari's balloon holds 2 L at 20 °C. At constant pressure, what is its volume at 60 °C, to 0.01 L?

    2.27 L
  2. Bo's balloon holds 3 L at 27 °C. At constant pressure, what is its volume at 127 °C, to 0.01 L?

    4 L
  3. A syringe of air at constant pressure warms from 20 °C to 40 °C. Does its volume double, Jun?

    • No: the volume falls, because warm gas is lighter than cold gas
    • No: 293.15 K to 313.15 K is a rise of about 7%, so the volume rises about 7%
    • Yes: 40 is double 20, so the volume doubles as well
  4. A rigid tank of gas starts at 27 °C. Its pressure doubles. What is the new temperature, Kira?

    • 327 °C, since doubling 300 K gives 600 K
    • 600 °C, since doubling 300 gives 600 and the unit is unchanged
    • 54 °C, since doubling 27 °C gives 54 °C in the same way
  5. A gas doubles in volume when warmed from 0 °C to 273 °C. Does it double again from 100 °C to 373 °C, Luz?

    • No: 100 °C is 373 K, so doubling needs 746 K; 373 °C is only 646 K
    • Yes: a rise of 273 °C doubles a gas's volume from any start
    • Yes: both rises are 273 °C, so the volume doubles again from the new start
  6. Read this first

    Volume of a gas at constant pressure (example data)

    temperature (°C)volume (mL)
    −2025.3
    027.3
    2029.3
    4031.3
    6033.3
    8035.3
  7. How much does the gas volume change for each °C of warming in the table, Milo?

    • 0.2 mL per °C, since each row adds 2.0 mL in 10 °C
    • 2.0 mL per °C, the rise between two rows
    • 0.10 mL per °C: it rises 2.0 mL for each 20 °C
  8. Extend the table's straight line downward. Where would the volume reach zero, Noah?

    • Near −273 °C, where a straight line through the data reaches zero volume
    • At −27.3 °C, because the volume falls by 1 mL for each °C
    • Below −400 °C, because gas volumes shrink more slowly when cold
  9. Scale Y puts freezing water at 10 °Y and boiling water at 130 °Y. How big is a 30 °C warming in °Y, Ren?

    • 36 °Y, since one °C equals 1.2 °Y
    • 46 °Y, since the 10 °Y offset is added to 36
    • 30 °Y, since a degree is a degree on any scale
  10. On scale Y (freezing 10 °Y, boiling 130 °Y), a thermometer reads 50 °Y. What is that in °C, Tala?

    • 33.3 °C: subtract 10, then divide by 1.2
    • 41.7 °C: divide by 1.2 but forget to subtract 10
    • 40 °C: subtract 10 but forget to divide by 1.2
  11. Which equations need kelvins, Zee?

    • q = mcΔT needs kelvins, but PV = nRT works with °C readings
    • PV = nRT needs kelvins; q = mcΔT works with a change in °C or in K
    • Neither needs kelvins, since °C can replace K in any formula