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General Chemistry I CHEM-1030 Laboratory Experiment No. 10 Specific Heat Prestud

ID: 506111 • Letter: G

Question

General Chemistry I CHEM-1030 Laboratory Experiment No. 10 Specific Heat Prestudy Calculate the heat needed to raise the temperature of 2789.8 g of water from 23.8 eC to 89.8 oC. (2 points) What is the specific heat of a metal if 65.289 g of the metal requires 939.0 joules for a 19.0 eC (2 points) temperature change? A 63.201 g sample of an unknown metal at 99.9 °C is mixed with 182.43 g of water at 21.6 oC. The resulting mixture reaches a temperature of 24.9 aC. Calculate the specific heat of the metal by solving Equation 8 for smetal. Equation 8, which is derived from Equations 5, 6 and 7, assumes the heat gained by the container (calorimeter) is negligible in comparison to the heat gained by the points) Water. (Answer question #4 on the reverse side of this namn)

Explanation / Answer

1.

Heat required (q) to raise the temperature from 23.8 °C to 89.8 °C (boiling).

Q = (mass) (specific heat) x (temp. Difference)

   = m x C x T

Mass = 2789.8 g

Specific heat of water = 4.184 J / g°C

T = 89.8 °C – 23.8 °C = 66 °C.

So,

Q = (2789.8 g) x (4.184 J / g°C) x (66 °C)

    = 770386 J

    = 770.39 kJ

2.

Heat required (Q) to raise the temperature from Ti to Tf.

Q = (mass) (specific heat) x (Tf - Ti)

    = m x C x T

Here,

Heat, Q = 939 J

mass, m = 65.289 g

Change in temperature, T = Tf - Ti = 19 oC

Specific heat of metal, C = ?

So,

939 J = (65.289 g) x (C) x (19 °C)

C = (939 J) / [(65.289 g) x (19 °C)]

    = 0.757 J/g °C

3.

Heat required (Q) to raise the temperature from Ti to Tf.

Q = (mass) (specific heat) x (Tf - Ti)

    = m x C x T

specific heat metal (Cm) = ?

Tm = 99.9 oC – 24.9 oC = 75.0 oC

Mm = 63.201 g

specific heat (CH2O) = 4.184 J / g°C

TH2O = 24.9 °C – 21.6 °C = 3.3 °C

MH2O = 182.43 g

Now,

Heat released = Heat absorbed

specific heat (Cm) x Tm x Mm = specific heat (CH2O) x TH2O x MH2O

specific heat (Cm) x (75.0 oC) x (63.201 g) = (4.184 J/g°C) x (3.3 °C) x (182.43 g)

specific heat (Cm) = [(4.184 J/g°C) x (3.3 °C) x (182.43 g)] / [(75.0 oC) x (63.201 g)]

specific heat (Cm) = 0.531 J/g°C

Image 1, all parts are done. Image 2 is incomplete question or no data given.