Respuesta :
Answer:
The metal with higher specific heat capacity undergoes the smallest change in temperature
Explanation:
The specific heat capacity is the amount of heat necessary to elevated in 1 degree 1 kg of the substance. Its unity is J/gºC. We can calculate the heat that changes the temperature of a substance by the equation:
Q = mcΔT
Where Q is the heat, m is the mass, c is the specific heat capacity, and ΔT is the change in the temperature. So, let's compare the two metals, which the same heat and the same mass, let's divide the first one (higher specific heat capacity) by the other:
[tex]\frac{Q1}{Q2} = \frac{m1c1ΔT1}{m2c2ΔT2}[/tex]
Q1 = Q2, and m1=m2, so:
c1ΔT1 = c2ΔT2
c1/c2 = ΔT2/ΔT1
So, if c1 > c2, ΔT2 > ΔT1 because of the proportionality. Then, the metal with higher specific heat capacity undergoes the smallest change in temperature.
According to the law of thermodynamics, the heat transfer from the high temperature to the low temperature. It can help us to know the heat capacity of the system.
The correct answer is the metal with a higher specific heat capacity.
Specific heat
- The specific heat capacity is defined as the amount of heat necessary to elevate in 1 degree 1 kg of the substance. Its unity is J/gºC.
- We can calculate the heat that changes the temperature of a substance by the equation:
- Q = mcΔT
Where
- Q is the heat,
- m is the mass,
- c is the specific heat capacity,
- ΔT is the change in the temperature.
let's compare both the metal:-
[tex]\frac{Q_1}{Q_2} =\frac{m_1c_1T_1}{M_2c_2T_2}[/tex]
- The value of the Q and the M is the same hence, the variable factor only depends on the T
c1ΔT1 = c2ΔT2
[tex]\frac{c_1}{c_2} = \frac{T_2}{T_1}[/tex]
So, if c1 > c2, ΔT2 > ΔT1 because of the proportionality. Then, the metal with a higher specific heat capacity undergoes the smallest change in temperature.
Hence, the correct answer is mentioned above.
For more information, refer to the link:-
https://brainly.com/question/2557464
