84 g of a metal at an initial temperature of 72°c releases 553 j of heat. Calculate the final temperature of the metal if its specific heat capacity is 0. 13 j/g⋅k.



Answer :

The final temperature of a 84.0g metal with an initial temperature of 72°C releases 553J of heat is 395.6K.

How to calculate final temperature?

The temperature of a substance can be calculated by using the following formula:

Q = mc∆T

Where;

  • Q = quantity of heat absorbed or released
  • m = mass
  • c = specific heat capacity
  • ∆T = change in temperature

Initial temperature in Kelvins = 72°C + 273 = 345K

The final temperature is calculated as follows;

553 = 84 × 0.13 × (T - 345)

553 = 10.92T - 3767.4

10.92T = 4320.4

T = 395.6K

Therefore, 395.6K is the final temperature of the metal.

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