Question

In: Chemistry

Suppose that 24 g of each of the following substances is initially at 29.0 ∘C. What...

Suppose that 24 g of each of the following substances is initially at 29.0 ∘C. What is the final temperature of each substance upon absorbing 2.45 kJ of heat?

silver

gold

aluminum

water

Solutions

Expert Solution

Silver: specific heat= 236 J/kg.ºC

1Kg --------- 236 J

24x10^-3Kg ----- x= 5.664 J

In order to increase 1ºC the temperature of the silver we need 5.664J, so, if the silver absorbed 2450J, the temperature increased:

5.664 J ------ 1ºC

2450 J ------- x= 432.6 ºC

Final temperature= 29 + 432.6 = 461.6ºC

Gold: specific heat= 130 J/Kg.ºC

1Kg --------- 130 J

24x10^-3Kg ----- x= 3.12 J

In order to increase 1ºC the temperature of gold we need 3.12J, so, if the gold absorbed 2450J, the temperature increased:

3.12 J ------ 1ºC

2450 J ------- x= 785.3 ºC

Final temperature= 29+785.3= 814.3ºC

Aluminum: specific heat= 897 J/Kg.ºC

1Kg --------- 897 J

24x10^-3Kg ----- x= 21.528 J

21.528 J ------ 1ºC

2450 J ------- x= 113.8 ºC

Final temperature= 29+ 113.8= 142.8ºC

water: specific heat= 4186 J/Kg.ºC

1Kg --------- 4186 J

24x10^-3Kg ----- x= 100.464 J

100.464 J ------ 1ºC

2450 J ------- x= 24.4 ºC

Final temperature= 29+785.3= 53.4ºC

queen_honey_blossom answered 1 year ago

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