Two object A and B have equal masses, but the object A has more specific heat capacity. Now , if both of them are provided with equal quantity of heat energy. Whose temperature will be more. Explain with reason

Explanation:

Specific heat capacity is the amount of energy needed to heat an object by 1 unit (eg: 1 degree Celsius). The higher the specific heat capacity is, the more energy you'll need to heat up the object to the desired temperature you want.

This means object B will get hotter compared to object A.

The formula to calculate the energy we need to add is

Q = m*c*t

where

Since objects A and B have the same mass, let's just say m = 1 for both objects. The unit doesn't really matter because we're focused on the numbers here.

Next, we'll come up with c values such that A's specific heat is larger than the specific heat for B. Let's say c = 10 for object A and c = 5 for object B.

Finally, let's apply the same amount of heat energy to both objects. So let's say Q = 20 for both objects.

With all this in mind, this means for object A, we can note

Q = m*c*t

20 = 1*10*t

20 = 10t

10t = 20

t = 20/10

t = 2

So we've raised object A's temperature by 2 degrees

Let's apply the same steps for object B

Q = m*c*t

20 = 1*5*t

20 = 5t

5t = 20

t = 20/5

t = 4

The temperature of object B has gone up by 4 degrees.

Object B's temperature has gone up twice as much compared to object A.