Respuesta :
Answer:
[tex]4.32\cdot 10^5 J[/tex]
Explanation:
Power is related to energy by the following relationship:
[tex]P=\frac{E}{t}[/tex]
where
P is the power used
E is the energy used
t is the time elapsed
In this problem, we know that
- the power of the fan is P = 120 W
- the fan has been running for one hour, which corresponds to a time of
[tex]t = 1 h \cdot (60 min/h)(60 s/min)=3600 s[/tex]
So we can re-arrange the previous equation to find E, the energy (in the form of thermal energy) released by the fan:
[tex]E=Pt=(120 W)(3600 s)=4.32\cdot 10^5 J[/tex]
The fan adds 4.32 × 10⁵ J ( = 0.12 kWh ) of thermal energy to the air
[tex]\texttt{ }[/tex]
Further explanation
Let's recall the Power formula:
[tex]\boxed {P = E \div t }[/tex]
[tex]\boxed {E = P \times t }[/tex]
where :
E = energy ( J )
P = power ( W )
t = time taken ( s )
Let us now tackle the problem!
[tex]\texttt{ }[/tex]
Given:
power of fan = P = 120 W = 0.12 kW
time taken = t = 1 hour
Asked:
thermal energy = E = ?
Solution:
We will calculate the thermal energy as follows:
[tex]P = E \div t[/tex]
[tex]E = P \times t[/tex]
[tex]E = 0.12 \times 1[/tex]
[tex]\boxed {E = 0.12 \texttt{ kWh}}[/tex]
[tex]E = 0.12 \times 3.6 \times 10^6 \texttt{ J}[/tex] → 1 kWh = 3.6 × 10⁶ J
[tex]\boxed {E = 4.32 \times 10^5 \texttt{ J}}[/tex]
[tex]\texttt{ }[/tex]
Conclusion:
The fan adds 4.32 × 10⁵ J ( = 0.12 kWh ) of thermal energy to the air
[tex]\texttt{ }[/tex]
Learn more
- Velocity of Runner : https://brainly.com/question/3813437
- Kinetic Energy : https://brainly.com/question/692781
- Acceleration : https://brainly.com/question/2283922
- The Speed of Car : https://brainly.com/question/568302
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Answer details
Grade: High School
Subject: Mathematics
Chapter: Energy
