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Homework answers / question archive / The final temperature of the calorimeter is 34
The final temperature of the calorimeter is 34.0 °C.
Two heats are involved:
a. the heat released by the combustion reaction, ##q_1##. b. the heat gained by the calorimeter as it warms up, ##q_2##.
##q_1 + q_2## = 0
##mΔH_"c" + C_"cal"ΔT = 0##
##?T = T_"f" –T_"i"##, (where ##"f"## and ##"i"## stand for final and initial
##"1.785 g × (-26.42 kJ·g"^-1) + "5.02 kJ°C"^-1 × "(T"_"f" – "24.62) °C = 0"##
##"-47.16 kJ + 5.02 kJ°C"^-1 × "T"_"f" - "123.59 kJ = 0"##
##"5.02 °C"^-1 × T_"f" = 123.59 + 47.16 = 170.75"##
##T_"f" = 170.75/"5.02 °C"^-1 = "34.0 °C"##
The final temperature is 34.0 °C.