Convert between Celsius, Kelvin and Fahrenheit

Answer Key - Grade 10 Science Worksheet

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

1. 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. 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. 3.

   Esme's balloon holds 5 L at 10 °C. At constant pressure, what is its volume at 100 °C, to 0.01 L?

   6.59 L
4. 4.

   A rigid tank of gas starts at 27 °C. Its pressure doubles. What is the new temperature, Kira?

   • 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
   • 327 °C, since doubling 300 K gives 600 K
5. 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?

   • Yes: both rises are 273 °C, so the volume doubles again from the new start
   • 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

6. Read this first

   Volume of a gas at constant pressure (example data)

   temperature (°C)	volume (mL)
   −20	25.3
   0	27.3
   20	29.3
   40	31.3
   60	33.3
   80	35.3

7. 6.

   Extend the table's straight line downward. Where would the volume reach zero, Noah?

   • Below −400 °C, because gas volumes shrink more slowly when cold
   • At −27.3 °C, because the volume falls by 1 mL for each °C
   • Near −273 °C, where a straight line through the data reaches zero volume
8. 7.

   Pia predicts the 29.3 mL at 20 °C will halve, to 14.65 mL, at 10 °C. What does the line give?

   • No: it gives 19.3 mL, because the volume falls 1 mL per °C
   • No: 10 °C gives 28.3 mL, only about 3% less
   • Yes: 10 °C is half of 20 °C, so the volume halves
9. 8.

   Scale Y puts freezing water at 10 °Y and boiling water at 130 °Y. How big is a 30 °C warming in °Y, Ren?

   • 30 °Y, since a degree is a degree on any scale
   • 46 °Y, since the 10 °Y offset is added to 36
   • 36 °Y, since one °C equals 1.2 °Y
10. 9.

    On scale Y (freezing 10 °Y, boiling 130 °Y), a thermometer reads 50 °Y. What is that in °C, Tala?

    • 41.7 °C: divide by 1.2 but forget to subtract 10
    • 40 °C: subtract 10 but forget to divide by 1.2
    • 33.3 °C: subtract 10, then divide by 1.2
11. 10.

    Which equations need kelvins, Zee?

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