An aluminium kettle weighs 1.05 Kg.
(a) What is the heat capacity of the kettle?
(b) How much heat is required to increase the temperature of this kettle from 23.0 to 99.0 degree celcius?
(c) How much heat is required to het this kettle from 23.0 to 99.0 degree celcius If it contains 1.25L of water (densityof 0.997 g/mL and a specific heat of 4.184 J/g degree celcius)

Respuesta :

Answer:Explained

Explanation:

Given

mass of aluminium kettle([tex]m_k[/tex])=1.05 kg

(a)Heat capacity of the kettle=Heat capacity of Aluminium

[tex]C_{Al}=0.9 J/gm-K[/tex]

(b)Heat is required to increase the temperature of this kettle from [tex]23^{\circ} to 99 ^{\circ}[/tex]

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

[tex]Q=1.05\times 0.9\times 1000\times \left ( 99-23\right )[/tex]

Q=71.82 kJ

(c)If kettle contains water 1.25 L of water i.e. 1.246 kg of water then heat required to raise the temperature from 23 to 99

[tex]Q=m_kc_k\left ( \Delta T\right )+m_wc_w\left ( \Delta T\right )[/tex]

[tex]Q=1.05\times 0.9\times 1000\times \left ( 99-23\right )+1.246\times 4.184\times 1000\times \left ( 99-23\right )[/tex]

Q=71.82+396.20=468.028 kJ