1) 385 J
2) 450 J
Explanation:
1)
The amount of energy that must be absorbed by a certain substance in order to increase its temperature by [tex]\Delta T[/tex] is given by the equation:
[tex]Q=mC\Delta T[/tex]
where
m is the mass of the substance
C is its specific heat capacity
[tex]\Delta T[/tex] is the increase in temperature of the substance
For the block of copper in this problem, we have:
m = 10 g is the mass
[tex]C=0.385 J/gK[/tex] is the specific heat capacity of copper
[tex]\Delta T=400-300 = 100 K[/tex] is the change in temperature
So, the energy absorbed by the block of copper is
[tex]Q=(10)(0.385)(100)=385 J[/tex]
2)
Similarly for the block of iron, the energy absorbed by the iron is given by
[tex]Q=mC\Delta T[/tex]
where
m is the mass of the block of iron
C is its specific heat capacity of iron
[tex]\Delta T[/tex] is the increase in temperature of the block
Here we have:
m = 10 g is the mass of the block
[tex]C=0.450 J/gK[/tex] is the specific heat capacity of iron
[tex]\Delta T=400-300 = 100 K[/tex] is the change in temperature
So, the energy absorbed by the block of iron is
[tex]Q=(10)(0.450)(100)=450 J[/tex]
