(a) In a hot summer afternoon, you just finished a football game. You rushed back to your home to grab a coke to cool yourself down. Unfortunately, you found out that you forgot to store your coke in the
refrigerator but placed it on the dining table. Assuming that the coke weighs 300 g and is initially at 25 degree C, how much 0 degree C ice do you need to add to the coke such that the coke will drop to 10 degree C? (Specific
heat capacity of water = 4200 Jkg^(-1) degree C^(-1), specific latent heat of fusion of ice = 3.34×10^(5) Jkg^(-1), specific heat capacity of coke = 4000 Jkg^(-1) degree C^(-1)
(b) A beaker containing 100 g of mysterious substance X initially at temperature 29 degree C is placed on a heater. The rate of energy transfer to X is 10 W. Sketch a graph to show how does the temperature of X change with time for 30 minutes. (Specific heat capacity of X in solid form = 1295 Jkg^(-1) degree C^(-1), specific latent heat of fusion of X = 4.34×10^(4) Jkg^(-1), specific heat capacity of X in liquid form = 2362 Jkg^(-1 )degree C^(-1), melting point of X is 45 degree C and boiling point of X is 235 degree C)
(c) In a sealed container of size 500 cm^3, the number of air molecules inside is 7×10^(21) and the temperature
is 32 degree C? What is the pressure exerted by the gas on the container?