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A 1.4 kg lump of alloy at

`131\deg C`

is added to 3.4 kg of water at

`15\deg C`

.Melbourne is famous for its early morning hot-air balloon flights. One morning, the mass of the passengers, basket, and balloon material was 604 kg . Calculate the balloon's volume if the heated air inside the balloon has a density

`14%`

less than that of the surrounding atmosphere. Hint: take the density of air to be

`1.2kgm^(-3)`

Please report the volume in cubic meters to 0 decimal places. Calculate the equilibrium temperature if no heat is lost to or gained from the environment. Hint: the specific heat of water is

`4186Jkg^(-1)K^(-1)`

and the specific heat of the alloy is 1,009

`Jkg^(-1)K^(-1)`

. Please report the temperature in degrees Celsius to 0 decimal places. Calorimetry (i.e. energy conservation with heat)