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If heat Q is required to increase the temperature of a metal object from 4 ∘C to 7∘C, the amount of heat necessary to increase its temperature from 7 ∘C to 19 ∘C is most likely If heat is required to increase the temperature of a metal object from 4 to 7, the amount of heat necessary to increase its temperature from 7 to 19 is most likely 4 Q. Q. 5 Q. 3 Q.

2 Answers

4 votes

Answer:

So in order to increase the temperature of the material from 7° C to 19°C, heat required to the material is is 3 Q

Step-by-step explanation:

We know temperature is directly proportional to amount of heat applied to the substance.

Q = mcdT

Q = heat supplied

m=mass of the substance

c= specific heat capacity

dT= increase in temperature

Let let us consider two situations as dQ_1 and dQ_2

Therefore,


(Q_1)/(Q_2)= (dT_1)/(dT_2)


(Q_1)/(Q_2)= (7-3)/(19-7)


(Q_1)/(Q_2)= (4)/(12)


(Q_1)/(Q_2)= (1)/(3)

Q1=Q

then, Q2 = 3Q

So in order to increase the temperature of the material from 7° C to 19°C, heat required to the material is is 3 Q

User John Murphy
by
8.1k points
4 votes

Answer:

4Q

Step-by-step explanation:

Case 1 :


m = mass of the metal


c = specific heat of the metal


\Delta T = Change in temperature = 7 - 4 = 3 C

Amount of heat required for the above change of temperature is given as


Q = m c \Delta T\\Q = m c (7 - 4)\\Q = 3 m c

Case 2 :


m = mass of the metal


c = specific heat of the metal


\Delta T = Change in temperature = 19 - 7 = 12 C

Amount of heat required for the above change of temperature is given as


Q' = m c \Delta T\\Q' = m c (12)\\Q' = (4)(3 m c)\\Q' = 4Q

Hence the correct choice is

4Q

User Michael Covelli
by
8.4k points