1. What is specific heat capacity?
2. Write down the formula involving specific heat capacity and define all the terms.
3. A 20 kg hot water tank, made of copper (c = 390 Jkg-1 K-1) holds 70 kg of water (c= 4200 Jkg-1 K-1). Prove that the amount energy required to raise the temperature of the tank by 10C first (a) when it is empty and then again (b) when it is full of water is (a) 7800J and (b) 301800J
4. Prove that the maximum temperature of a 20kg block of copper if it is heated from 200C with an electrical heater at 240V and 5A for 1 minute is about 290C.
5. Define specific latent heat.
6. Write down the formula for specific latent heat and define the terms
7. Why does an aerosol can cool down when you use it?
8. Explain why a steam burn (from a kettle at around 1010C) is so very much more painful and dangerous than a burn from hot water (at say 990C)
9. Write down the equation of state for an ideal gas and define all terms.
10. Explain the term “Avogadro’s constant”.
11. 5 x 10-2 m3 of a gas are held at a temperature of 330K and a pressure of 1.5 x 106 Pa. If the pressure is increased to 2.0 x 106 Pa, while the temp remains constant, prove that the new volume occupied by the gas is 0.0375 m3.
12. A cylinder of volume 3 x 10-3 m3 holds gas at 1 x 106 Pa and 327K. Calculate the number of moles present and then the number of molecules.
13. (a) Explain the concept of the absolute zero of temperature.
(b) Describe and sketch the results of a graph of an experiment on a fixed mass of gas if you slowly cooled it as cold as possible while measuring its volume in a syringe.
14. What are the assumptions we make about an ideal gas?
15. Derive the expression pV = 1/3Nm c2. Define all terms.
16. Explain what is “internal energy” of a gas.
17. What is the relationship between temperature and molecular kinetic energy?
18. Equate the two formula for pV and then rearrange to show molecular kinetic energy of a gas in terms of the molar gas constant and Avogadro’s constant. see Q17
19. What is the Boltzmann constant? see Q17
sorry this isn't self marking at the moment - maybe one day