Hot water at temperature of t is added to twice that amount of water at a temperature of 30°C. If the resulting temperature of the mixture is 50°C, calculate t
An air bubble of volume 2 cm\(^3\) is formed 20 m under water. What will be its volume when it rises to just below the surface of the water if the atmospheric pressure is equivalent to a height of 10 m of water?
The pressure of a given mass of gas changes from 200 Nm\(^{-2}\) to 100 Nm\(^{-2}\), while its temperature drops from 127°C to -73°C. Calculate the ratio of the final volume of the gas to its initial volume.
The temperature of a glass vessel containing 100 cm\(^3\) of mercury is raised from 10°C to 100°C. Calculate the apparent cubic expansion of the mercury. (Real cubic expansivity of mercury = 1.8 × 10\(^{-4}\) K\(^{-1}\), Cubic expansivity of glass = 2.4 × 10\(^{-5}\) K\(^{-1}\))
An iron rod of mass 2 kg and at a temperature of 280°C is dropped into some quantity of water initially at a temperature of 30°C. If the temperature of the mixture is 70°C, calculate the mass of the water. (Neglect heat losses to the surroundings) [Specific heat capacity of iron = 460 Jkg\(^{-1}\)K\(^{-1}\)] [Specific heat capacity of water = 4200 Jkg\(^{-1}\)K\(^{-1}\)]
