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What is the amount of heat that must be absorbed to increase the temperature of a 130.-gram sample of water from 20.0°C to 50.0°C?

Regents Chemistry Exam August 2024 Question 37


37 What is the amount of heat that must be absorbed to increase the temperature of a 130.-gram sample of water from 20.0°C to 50.0°C?

(1) 3.90 * 10^3 J (3) 4.34 * 10^4 J

(2) 1.63 10^4 J (4) 2.94 * 10^5 J



Solution:

All of the heat equations can be found on Table T in the Reference Table. An equation that involves change of temperature is q=mCΔT

where q=heat m = mass and C = specific heat capacity. ΔT = Tfinal-Tinitial

m=130.0 grams,

C = 4.18 J/g•K (Table B on the Reference Table gives specific heat capacity of water)

ΔT = Tfinal – Tinitial = 50.0°C-20.0°C = 30.0°C q=130.0 g*4.18 J/g•K *30.0°C = 16302J

Answer:2


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