A4.00 g sample of a metal (specific heat = 0.600 j g-1°c-1 is heated to 75 degrees celcius and then dropped into 165 g of water in a calorimeter. what is the final temperature of the water if the initial temperature is 28 degrees celcius? the specific heat capacity of water is 4.184 j/g.°c.

28.16 °C

Explanation:

Considering that:-

Heat gain by water = Heat lost by metal

Thus,  

Where, negative sign signifies heat loss

Or,  

For water:

Mass = 165 g

Initial temperature = 28 °C

Specific heat of water = 4.184 J/g°C

For metal:

Mass = 4.00 g

Initial temperature = 75 °C

Specific heat of water = 0.600 J/g°C

So,  

Hence, the final temperature is 28.16 °C

law of conservation of matter