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A 5.0-kg block of wood is placed on a 2.0-kg aluminum frying pan. How much heat is required to raise the temperature of both the wood and the pan from 20°C to 45°C? (Note: The specific heat wood is 1700 J/kg ·°C and of aluminum is 900 J/kg ·°C.)

Respuesta :

Heat required to raise the temperature of a given system is

[tex]Q = ms\Delta T[/tex]

here we know that

m = mass

s = specific heat capacity

[tex]\Delta T[/tex] = change in temperature

now as we know that

mass of wood = 5 kg

mass of aluminium pan = 2 kg

change in temperature = 45 - 20 = 25 degree C

specific heat capacity of wood = 1700 J/kg C

specific heat capacity of aluminium = 900 J/kg C

now here we will find the total heat to raise the temperature of both

[tex]Q = m_1s_1\Delta T_1 + m_2s_2\Delta T_2[/tex]

[tex]Q = 5 * 1700 * 25 + 2 * 900 * 25[/tex]

[tex]Q = 212500 + 45000[/tex]

[tex]Q = 257500 J[/tex]

So heat required to raise the temperature of the system is 257500 J

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