Heating a mass m by ΔT takes energy Q = mcΔT and specific heat capacity is measured in J kg⁻¹ K⁻¹, so this Year 13 sheet opens with the heat equation and its unit. The answers record latent heat, absolute zero at 0 K and PV = nRT.
Key Takeaways
The heat equation is Q = mcΔT (Q1).
Specific heat capacity is measured in J kg⁻¹ K⁻¹ (Q2).
Q5 records PV = nRT.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The energy needed to raise the temperature of a mass m by ΔT is given by...
6.The internal energy of an ideal gas depends on...
(a) its temperature(b) its volume only(c) its pressure only(d) the type of gas container
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Define specific heat capacity.
8.Define specific latent heat of fusion.
9.State the first law of thermodynamics in words.
10.Convert -40 °C into kelvin.
11.Why does water stay at 100 °C while it is boiling, even though energy is being supplied?
12.State two assumptions of the kinetic model of an ideal gas.
13.State the value of the Avogadro constant.
14.Explain how Brownian motion provides evidence for the kinetic model of matter.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Calculate the energy needed to heat 2 kg of water from 20 °C to 100 °C. Use Q = mcΔT with c = 4200 J kg⁻¹ K⁻¹.
16.Calculate the energy needed to melt 0.5 kg of ice at its melting point. Use Q = mL with L = 3.34×10⁵ J kg⁻¹.
17.Calculate the energy released when 0.2 kg of steam condenses at its boiling point. Use Q = mL with L = 2.26×10⁶ J kg⁻¹.
18.A cylinder contains 2 moles of an ideal gas at 300 K. Using PV = nRT with R = 8.31 J mol⁻¹ K⁻¹, calculate the value of PV, and the pressure if the volume is 0.02 m³.
19.Calculate the average translational kinetic energy of a gas molecule at 300 K. Use Ek = 3kT/2 with k = 1.38×10⁻²³ J K⁻¹.
20.A 0.5 kg metal block absorbs 9200 J of energy and its temperature rises by 40 K. Using c = Q/mΔT, calculate the specific heat capacity of the metal.
Answer Key
1. a) Q = mcΔT
2. c) J kg⁻¹ K⁻¹
3. b) latent heat
4. c) 0 K
5. a) PV = nRT
6. a) its temperature
7. Refer to solution guide.
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End of Worksheet
People Also Ask
What is the heat equation?
Q = mcΔT, option (a) 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 the ideal gas equation?
PV = nRT, option (a) in this worksheet (Q5).
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