I NEED HELP THIS IS DUE IN A FEW HOURS AND I AM LOST! I WILL BE FOREVER GRATEFUL

Question

I NEED HELP THIS IS DUE IN A FEW HOURS AND I AM LOST! I WILL BE FOREVER GRATEFULE. ALSO PLEASE SHOW WORK FOR ONLY 2 OF THE CALCULATIONS, FOR THE REST YOU DO NOT YOU CAN JUST PLUG THEM IN THE TABLE. THANK YOUUUUUUUU!!!!!!!!!!!!!!!!

Data Mass Aluminum cylinder: 15.348 g Mass Calorimeter 36.7 g Temperature boiling water bath: 99.8 C Data Table 1 Trial water (g) 40.33 g 43.759 g 45.270 g 48.692 g 26.0 °C 53.221 g 49.799 g 58.672 g 55.250 g 63.801 g 60.379 g 69.09 g 65.673 g 74.346 g 70.924 g 24.5 °C 79.418 g 75.996 g 84.339 g 80.917 g T9 85.871 g 89.293 g 24.2 °C 22.1 °C

Explanation / Answer

The q for the metal is negative because it loses heat and the q for the water is positive because it absorbs heat.

Since the system will reach thermal equilibrium we will make these equal

- q metal = q water

For Trial -1

q Water = mc (tfti)

m= 40.337 g

c = specific heat capacity of water = 4.184 J/g 0C

tf = 28.70C

ti = 240C

t = 4.50C

q Water = m c t

              = 40.337 g x 4.184 J/g 0C x 4.50C

              = 759.465J

- q metal = q water

q metal –

m = 15.348 g

tf = 28.70C

ti = 99.80C

t = - 71.1

Suppose specific heat capacity of Al is x

Then,

-(15.348)(x)(-71.1) = 759.465J

             x =759.465J/-(15.348) (-71.1)

              = 0.6959J/g0C

For Trial -2

m= 45.270 g

c = specific heat capacity of water = 4.184 J/g 0C

t = 4.30C

q Water = m c t

              = 45.270 g x 4.184 J/g 0C x 4.30C

              = 814.46 J

- q metal = q water

For metal –

m = 15.348 g

tf = 26.0 0C

ti = 99.80C

t = - 73.8

Suppose specific heat capacity of Al is x

Then,

(15.348)(x)(-73.8) = 814.46

             x = 814.46J/-(15.348) (-73.8)

              = 0.719J/g0C

Trial

q water(J)

q Aluminum (J)

C Aluminum (J/g0C)

1

759.47

- 759.47

0.696

2

814.46

- 814. 46

0.719

3

666.48

- 666.48

0.577

4

785.96

- 785.96

0.684

5

934.72

- 934.72

0.816

6

961.74

- 961.74

0.837

7

919.91

- 919.91

0.801

8

858.51

- 858.51

0.746

9

914.10

-914.10

0.798

10

898.21

- 898.21

0.777

Trial

q water(J)

q Aluminum (J)

C Aluminum (J/g0C)

1

759.47

- 759.47

0.696

2

814.46

- 814. 46

0.719

3

666.48

- 666.48

0.577

4

785.96

- 785.96

0.684

5

934.72

- 934.72

0.816

6

961.74

- 961.74

0.837

7

919.91

- 919.91

0.801

8

858.51

- 858.51

0.746

9

914.10

-914.10

0.798

10

898.21

- 898.21

0.777

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