550 g of water at 75 degrees Celsius are poured into a 855 g aluminum container

Question

550 g of water at 75 degrees Celsius are poured into a 855 g aluminum container with an initial temperature of 11 degrees Celsius. The specific heat of aluminum is 900 J/(kgK). How much heat flows from the water to the aluminum, assuming no heat is exchanged with the surroundings 550 g of water at 75 degrees Celsius are poured into a 855 g aluminum container with an initial temperature of 11 degrees Celsius. The specific heat of aluminum is 900 J/(kgK). How much heat flows from the water to the aluminum, assuming no heat is exchanged with the surroundings

Explanation / Answer

According to the concept of equillibrium temperature

m_w c_w (75 - T ) = m _al c_al (T - 11)

(550 g) (4186 ) ( 75 - T ) = (855 g)(900 J/kg.K)( T - 11 )

75 - T = (0.334 ) ( T - 11 )

75 - T = 0.334 T - 3.676

T = 58.997.

heat flows from water to aluminum is

Q = mc (58.9 - 11 )

= ( 0.855 ) ( 900 J / kg .K ) ( 58.9 - 11 )

=36919.006 J

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