## The specific heat capacities of some metals (in J g−1 K−1) are given below. Copper: 0.385 Magnesium: 1.020 Mercury: 0.138 Platinum: 0.130 If

Question

The specific heat capacities of some metals (in J g−1 K−1) are given below. Copper: 0.385 Magnesium: 1.020 Mercury: 0.138 Platinum: 0.130 If 100 kJ of heat is added to 10.0 g samples of each of the metals above, all at 25°C, determine which metal will have the smallest increase in temperature.

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5 months 2021-08-22T05:46:25+00:00 1 Answers 60 views 0

## Answers ( )

1. Answer: Magnesium metal will have the smallest increase in temperature.

Explanation:

Given: Specific heats are as follows.

Copper = 0.385 J/g K,     Magnesium = 1.020 J/g K

Mercury = 0.138 J/g K,     Platinum = 0.130 J/g K

Heat energy = 100 kJ  (1 kJ = 1000 J) = 100000 J

mass = 10.0 g

Initial temperature = Formula used to calculate the increase in temperature for each of the given elements is as follows. where,

q = heat energy

m = mass

C = specific heat = initial temperature = final temperature

• The change in temperature for copper is calculated as follows. • The change in temperature for magnesium is calculated as follows. • The change in temperature for mercury is calculated as follows. • The change in temperature for platinum is calculated as follows. Thus, we can conclude that magnesium metal will have the smallest increase in temperature.