Raising 2 kg of water by 10 K takes about 84,000 J and specific heat capacity is measured in J kg⁻¹ K⁻¹, so this IB sheet opens with a stored heat calculation and the specific heat unit. The answers record 273 K, 3.34 × 10⁵ J and a constant temperature result.
Key Takeaways
2 kg of water raised 10 K needs about 84,000 J (Q1).
The SI unit of specific heat capacity is J kg⁻¹ K⁻¹ (Q2).
Q5 records 273 K as a conversion answer.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The energy needed to raise the temperature of 2 kg of water by 10 K is approximately (c = 4200 J kg⁻¹ K⁻¹)
(a) 8,400 J(b) 42,000 J(c) 84,000 J(d) 840,000 J
2.The SI unit of specific heat capacity is
(a) J(b) J/K(c) J kg⁻¹ K⁻¹(d) kg K
3.During the melting of ice at 0 °C, the temperature of the ice-water mixture
(a) increases(b) decreases(c) stays constant(d) rises to 4 °C
4.The energy needed to melt 1 kg of ice at 0 °C is approximately (specific latent heat of fusion = 3.34 × 10⁵ J kg⁻¹)
6.For an ideal gas, the internal energy depends only on its
(a) pressure(b) volume(c) temperature(d) density
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Define the specific heat capacity of a substance.
8.Define the specific latent heat of fusion of a substance.
9.Explain why evaporation produces cooling.
10.State the relationship between the Celsius scale and the kelvin scale.
11.Explain why the temperature of a pure substance does not change during a change of state.
12.State what is meant by the internal energy of a substance.
13.A pan of water is boiling. Explain why the temperature stays at 100 °C even though the flame continues to supply energy.
14.State the value of the specific heat capacity of water used in IB problems.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Using Q = mcΔT, calculate the energy required to heat a 0.5 kg copper block from 20 °C to 70 °C. The specific heat capacity of copper is 385 J kg⁻¹ K⁻¹.
16.Using Q = mL, calculate the energy needed to melt 0.2 kg of ice at 0 °C. The specific latent heat of fusion of ice is 3.34 × 10⁵ J kg⁻¹.
17.A 2000 W kettle heats 1 kg of water from 20 °C to 100 °C. Using Q = mcΔT with c = 4200 J kg⁻¹ K⁻¹ and t = Q ÷ P, calculate the energy needed and the time taken.
18.Using Q = mL, calculate the energy required to convert 1 kg of water at 100 °C into steam. The specific latent heat of vaporisation is 2.26 × 10⁶ J kg⁻¹.
19.0.5 kg of water at 20 °C is mixed with 0.5 kg of water at 60 °C. Using conservation of energy, calculate the final temperature, assuming no energy is lost.
20.Using ΔT = Q ÷ (mc), calculate the temperature rise when 1 kg of aluminium absorbs 9000 J. The specific heat capacity of aluminium is 900 J kg⁻¹ K⁻¹.
Answer Key
1. c) 84,000 J
2. c) J kg⁻¹ K⁻¹
3. c) stays constant
4. b) 3.34 × 10⁵ J
5. c) 273 K
6. c) temperature
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End of Worksheet
People Also Ask
How much energy raises 2 kg of water by 10 K?
About 84,000 J, option (c) in this worksheet (Q1).
What is the SI unit of specific heat capacity?
J kg⁻¹ K⁻¹, option (c) in this worksheet (Q2).
What is 0 °C in kelvin?
273 K, option (c) in this worksheet (Q5).
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