2. (17%) (a) (i) A beaker containing 400g of ice at -5C to is placed on...

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2. (17%) (a) (i) A beaker containing 400g of ice at -5°C to is placed on a heater. How much heat is required to turn the beaker of ice to water at 15°C? (Specific heat capacity of water = 4200Jkg-¹°C-¹, specific latent heat of fusion of ice = 3.34×105Jkg-¹, specific heat capacity of ice = 2108 Jkg-¹°C-¹) (6) (ii) Suppose the heater takes 2 hours to finish the process in (a)(i). What is the power of the heater? (2) (b) Melting ice of mass 80g is added to 250g of liquid A at 50°C. Find the final temperature of the mixture, assuming that no energy is lost to surroundings. (The specific heat capacity of water is 4200J kg-¹ °C-¹. The specific heat of fusion of ice is 3.34×105Jkg-¹. The latent heat of fusion of solid A is 2400J kg-¹. The specific heat capacity of liquid A is 4500Jkg-¹ °C-¹. The melting point of A is -2°C.) (6) (c) An insulated cylinder contains an ideal gas Y. The volume, temperature and pressure of gas Y is 125 cm³, 30 °C and 5x105Pa respectively. Find the number of molecules of gas Y in the cylinder if k=1.38×10-2³ J/K. (3) 2. (17%) (a) (i) A beaker containing 400g of ice at -5°C to is placed on a heater. How much heat is required to turn the beaker of ice to water at 15°C? (Specific heat capacity of water = 4200Jkg-¹°C-¹, specific latent heat of fusion of ice = 3.34×105Jkg-¹, specific heat capacity of ice = 2108 Jkg-¹°C-¹) (6) (ii) Suppose the heater takes 2 hours to finish the process in (a)(i). What is the power of the heater? (2) (b) Melting ice of mass 80g is added to 250g of liquid A at 50°C. Find the final temperature of the mixture, assuming that no energy is lost to surroundings. (The specific heat capacity of water is 4200J kg-¹ °C-¹. The specific heat of fusion of ice is 3.34×105Jkg-¹. The latent heat of fusion of solid A is 2400J kg-¹. The specific heat capacity of liquid A is 4500Jkg-¹ °C-¹. The melting point of A is -2°C.) (6) (c) An insulated cylinder contains an ideal gas Y. The volume, temperature and pressure of gas Y is 125 cm³, 30 °C and 5x105Pa respectively. Find the number of molecules of gas Y in the cylinder if k=1.38×10-2³ J/K. (3)

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