Respuesta :
Given:
5 kg of coal
T1 = 20°C, T2 = 220°C
Required:
Q(heat energy)
Solution:
The specific heat of coal (bituminous) is 1.315 kJ/kg-K
Q = mcp(T2-T1)
Q = 5kg (1.315 kJ/kg-K) (220 – 20)
Note that T(°C) = T(K)
Q = 1315 kJ or 1315000 J
Since 1315000 J is close to 1314718 J, the answer is letter A.
1.3 × 10⁶ Joules of heat is required to raise the temperature of 5 kilograms of coal from 20°C to 220°C
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Further explanation
Specific Heat Capacity is the amount of energy needed to raise temperature of 1 kg body for 1°C.
[tex]\large {\boxed{Q = m \times c \times \Delta t} }[/tex]
Q = Energy ( Joule )
m = Mass ( kg )
c = Specific Heat Capacity ( J / kg°C )
Δt = Change In Temperature ( °C )
Let us now tackle the problem!
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Given:
mass of coal = m = 5 kg
change in temperature = Δt = 220 - 20 = 200°C
specific heat capacity of coal = c = 1.3 × 10³ J/kg°C
Asked:
heat required = Q = ?
Solution:
[tex]Q = mc\Delta t[/tex]
[tex]Q = 5 \times (1.3 \times 10^3) \times 200[/tex]
[tex]Q = 1.3 \times 10^6 \texttt{ Joules}[/tex]
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Conclusion:
1.3 × 10⁶ Joules of heat is required to raise the temperature of 5 kilograms of coal from 20°C to 220°C
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Learn more
- Efficiency of Engine : https://brainly.com/question/5597682
- Flow of Heat : https://brainly.com/question/3010079
- Difference Between Temperature and Heat : https://brainly.com/question/3821712
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Answer details
Grade: College
Subject: Physics
Chapter: Thermal Physics
