. (a) We place 77.7 g of a metal at 10.00 ◦C in 333.3 g of water at 70.00 ◦C. The water is in a beaker that is also at 70.00 ◦C. The specifific heat capacity of water is 4.184 J K−1 g−1 and that of the metal is 0.555 J K−1 g−1 . The heat capacity of the beaker is 0.666 kJ K−1 . What is the fifinal temperature of the metal, the water, and the beaker?

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7. (a) We place 77.7 g of a metal at 10.00 C in 333.3 g of water at 70.00 C. The water is in a

beaker that is also at 70.00 C. The specifific heat capacity of water is 4.184 J K1 g1 and that of

the metal is 0.555 J K1 g1 . The heat capacity of the beaker is 0.666 kJ K1 . What is the fifinal

temperature of the metal, the water, and the beaker?

(b)  Calculate the enthalpy change for the reaction C(graphite) + 2 H2(g) CH4(g) with the

help of the enthalpy changes of the following reactions:

C(graphite) + O2(g) CO2(g) ∆H= -393.5 kJmol1

H2(g) +1/2O2(g) H2O(l) ∆H = -285.8 kJmol1

CH4(g) + 2 O2(g) CO2(g) + 2 H2O(l) ∆H = -890.4 kJmol1

The temperature is 25 C in all instances.

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