Answer:
No
Explanation:
When one object heats another, the amount of heat transferred by the hotter object ([tex]Q_h[/tex]) to the colder object is equal to the amount of heat absorbed by the colder object ([tex]Q_c[/tex]):
[tex]Q_h=Q_c[/tex]
The two amounts of heat can be written as:
[tex]Q_h=m_h C_h \Delta T_h[/tex]
where
[tex]m_h[/tex] is the mass of the hotter object
[tex]C_h[/tex] is the specific heat capacity of the hotter object
[tex]\Delta T_h[/tex] is the change in temperature of the hotter object
And
[tex]Q_c=m_c C_c \Delta T_c[/tex]
where
[tex]m_c[/tex] is the mass of the colder object
[tex]C_c[/tex] is the specific heat capacity of the colder object
[tex]\Delta T_c[/tex] is the change in temperature of the colder object
So we can write
[tex]m_h C_h \Delta T_h = m_c C_c \Delta T_c[/tex]
or
[tex]\frac{\Delta T_h}{\Delta T_c}=\frac{m_c C_c}{m_h C_h}[/tex]
We see that this ratio is not always equal to 1, since the two objects can have different masses and specific heat capacities: therefore, the changes in temperature are not equal.
