Question

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.

Answer 1

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

Answer 2

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