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The specific heat of a solid Y is 11.5 cal/g°C. A sample of this
solid at 135 K is heated to 260 K. The solid absorbs 7.90 kcals.
What is the sample of solid in grams?
g

Respuesta :

samueladesida43

The sample of the solid in grams is 5.5g

HOW TO CALCULATE SPECIFIC HEAT CAPACITY:

  • The quantity of heat absorbed or released by a substance can be calculated using the following formula:

Q = m × c × ∆T

Where;

Q = quantity of heat absorbed/released (cal)

m = mass of the substance (g)

c = specific heat (cal/g°C)

∆T = change in temperature (°C)

  • According to the information provided in this question:

Q = 7.90Kcal = 7900cal

m = ?

c = 11.5 cal/g°C

T1 = 135K = 135K − 273.15 = -138.1°C

T2 = 260K = 260K − 273.15 = -13.15°C

∆T = -13.15 - (-138.1) = 124.95°C

  • Hence, the mass of the substance can be calculated as follows:

m = Q ÷ c∆T

m = 7900 ÷ (11.5 × 124.95)

m = 7900 ÷ 1436.93

m = 5.5grams.

Therefore, the sample of the solid in grams is 5.5g.

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