Respuesta :
the heat lost by the metal will equal the heat gained by the water
Answer : The correct option is "The heat lost by the metal will be equal to heat gained by the water"
Explanation :
In the above problem we have 2 systems, metal and water . Let us find the heat for each system.
The heat, Q is calculated using following formula
[tex] Q = m \times C \times \bigtriangleup T [/tex]
Here m is the mass of the substance.
C is the specific heat of the substance.
ΔT is the change in temperature.
We know that heat flows from a substance which is at higher temperature to the substance at lower temperature.
Since metal is at higher temperature it will lose heat.
The amount of heat lost by metal is
[tex] Q_{lost} = 150 \times C \times (\bigtriangleup T)_{metal} [/tex]
Water is at lower temperature, therefore it will absorb the heat lost by the metal.
The heat gained by water is calculated as
[tex] Q_{gained} = 1000 \times 4.184 \times (\bigtriangleup) T_{water} [/tex]
According to thermodynamic principle,
[tex] Q_{lost} = - Q_{gained} [/tex]
That means heat lost by the metal would be equal to heat gained by the water.
