16-10) Suppose you transfer heat energy to a perfectly insulated cup of liquid,

Question

16-10) Suppose you transfer heat energy to a perfectly insulated cup of liquid, and observe how much the temperature changes. Then, you decide to repeat the same experiment several times making changes. For each of the following changes indicate whether the change in temperature will be larger, smaller or the same as that measured before the alteration:
(a) transfer the same amount of heat energy as before but at a slower rate;
(b) transfer less heat energy to the cup;
(c) start with cooler liquid;
(d) put more of the liquid in the cup;
(e) decrease the temperature outside the cup;
(f) change to an equal mass of liquid with a smaller specifi heat;
(g) and use the same volume of a less dense liquid with the same specific heat.

Explanation / Answer

Temperature change = heat transferred/(mass x specific heat of liquid)

T = q/mc

(a) T remains the same as q, m and c are not affected by rate of heat transfer.

(b) T is smaller as q decreases while m and c do not change.

(c) T remains the same as q, m and c are not affected by starting temperature.

(d) T is smaller as m increases while q and c do not change.

(e) T remains the same as q, m and c are not affected by temperature outside cup.

(f) T is larger as c decreases while q and m do not change.

(g) T is larger as m decreases while q and c do not change. Mass = volume x density, same volume of less dense liquid has smaller mass.

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