Question

In: Physics

A student heats a piece of 130 g of an unknown greyish metal to a temperature...

A student heats a piece of 130 g of an unknown greyish metal to a temperature of 99.2 celcius. she places the metal in a styrofoam cup that contains 55.7 g of water at a temperature of 23.0 celsius. the hot metal heats up the water in the cup to 31.4 celcius. calculate the specific heat of the metal?

Expert Solution

Mass of the metal is

Initial temperature of the metal is

Final temperature of the metal is

Mass of the water is

Initial temperature of the water is

Final temperature of the water is

The specific heat of water is

The heat gained by an object of mass m when its temperature changes from T_i to T_f is

where C is the specific heat of the substance.

Assuming the water+metal system is isolated, that is, heat is exchanged between metal and water and no heat is lost in the process

Substituting values

To convert it into J/(kg ^oC) we substitute 1g=10^-3kg

genius_generous answered 3 years ago

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