Answer :
To solve this problem, we need to use the formula for calculating the change in temperature when a specific amount of thermal energy is absorbed by a material. The formula is:
[tex]\Delta T = \frac{Q}{m \cdot c}[/tex]
Where:
- [tex]\Delta T[/tex] is the change in temperature (in degrees Celsius),
- [tex]Q[/tex] is the heat absorbed (in joules),
- [tex]m[/tex] is the mass of the substance (in kilograms),
- [tex]c[/tex] is the specific heat capacity of the substance (in [tex]J/(kg \cdot °C)[/tex]).
Given values:
- [tex]Q = 7300[/tex] J
- [tex]m = 2.0[/tex] kg
- [tex]c = 913[/tex] J/(kg°C)
First, calculate the change in temperature:
[tex]\Delta T = \frac{7300}{2.0 \cdot 913}[/tex]
[tex]\Delta T = \frac{7300}{1826}[/tex]
[tex]\Delta T \approx 4.0 \text{°C}[/tex]
The initial temperature of the aluminium block is 20°C. To find the final temperature, we add the change in temperature to the initial temperature:
Final Temperature = Initial Temperature + Change in Temperature
Final Temperature = 20°C + 4.0°C = 24°C
Thus, the final temperature of the aluminium block is 24°C.
The correct multiple-choice option is C) 24°C.