Physics 2025-HW 2 The Relationship between Heat and Temperature Question 5: [1.5

Question

Physics 2025-HW 2 The Relationship between Heat and Temperature Question 5: [1.5 pts] You have two perfectly insulated cups. One contains water and the other contains an equal volume of another liquid that has half the density of water and twice the specific heat capacity You heat the water from 10°C to 20°C and the other liquid from 80°C to 90°C. Compare the amount of heat energy needed to raise the temperature of the other liquid to the amount needed to raise the temperature of the water. Explain how you got your answer using either formulas or words. 43

Explanation / Answer

Let the density of water be d and specific heat capacity be s

mass=voume*density

Enegy=mass*specific heat*temp difference

Energy required by water=m*s*10=V*d*s*10=10Vds

Energy required by other liquid=m'*2s*10=0.5d*V*2s*10=10Vds

As seen heat by both are same

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