If heat Q is required to increase the temperature of a metal object from 4°C to 6°C, the amount of heat necessary to increase its temperature from 6°C to 12°C is

A Q

B 2 Q

C 3 Q

D 4Q

please help me asap

4 to 6 is 2 degrees

6 to 12 is 6 degrees, three times as much change in T
so
3 Q

3Q

To determine the amount of heat required to increase the temperature of a metal object from 6°C to 12°C, we can use the concept of heat capacity.

The heat capacity of an object is the amount of heat required to raise its temperature by 1°C. Let's assume the heat capacity of the metal object is denoted by C.

We are given that the amount of heat (Q) required to increase the temperature of the object from 4°C to 6°C. From this information, we can say that Q is equal to the heat capacity (C) multiplied by the change in temperature (ΔT), which is (6-4) = 2°C.

So, we can write the equation as follows:
Q = C * ΔT

Now, we need to find the amount of heat required to increase the temperature from 6°C to 12°C, which is a change in temperature of (12-6) = 6°C.

Using the same formula, we can calculate the heat required:
Q' = C * ΔT' = C * 6°C

Comparing Q' with Q, we can see that Q' is 3 times larger than Q, as the change in temperature has tripled. Therefore, the amount of heat necessary to increase the temperature from 6°C to 12°C is 3Q.

So, the correct answer is C. 3Q.

To find the amount of heat necessary to increase the temperature of the metal object from 6°C to 12°C, we can use the formula:

Q = m * c * ΔT

Where:
Q is the amount of heat
m is the mass of the object
c is the specific heat capacity of the object
ΔT is the change in temperature

In this case, we are only concerned with the change in temperature (ΔT), so we can ignore the other variables.

We can see that the change in temperature from 6°C to 12°C is 6°C.

Now, the question states that the amount of heat (Q) required to increase the temperature from 4°C to 6°C is the same as the amount of heat required to go from 6°C to 12°C. So, if Q is the amount of heat for the first change, then Q will be the amount of heat for the second change as well.

Therefore, the correct answer is A. Q.