A sample of iron absorbs 81.0 J of heat, upon which the temperature of the sample increases from 17.9 °C to 32.5 °C.
If the specific heat of iron is 0.450 J/g-K, what is the mass (in grams) of the sample?

Respuesta :

Answer:

Mass = 12.33 g

Explanation:

The expression for the calculation of the enthalpy change of a process is shown below as:-

[tex]\Delta H=m\times C\times \Delta T[/tex]

Where,  

[tex]\Delta H[/tex]  is the enthalpy change

m is the mass

C is the specific heat capacity

[tex]\Delta T[/tex]  is the temperature change

Thus, given that:-

Specific heat = 0.450 J/g°C

[tex]\Delta T=32.5-17.9\ ^0C=14.6\ ^0C[/tex]

[tex]\Delta H[/tex] = 81.0 J

So,  

[tex]81.0=m\times 0.450\times 14.6[/tex]

Mass = 12.33 g

The mass of the sample will be "12.33 g".

Heat and temperature:

The energy is transmitted from one object to the next as a consequence of something like a temperature differential.

The heat has been affected by elements such as particle speed, physical properties, as well as particle quantity, among others.

According to the question,

Heat, ΔH = 81.0 J

Specific heat, C = 0.450 J/g°C

Temperature, ΔT = 32.5 - 17.9

                             = 14.6°C

Enthalpy change of a process be:

→ ΔH = m × C × ΔT

By substituting the values, we get

 81.0 = m × 0.450 × 14.6

     m = 12.33 g

Thus the above answer is correct.

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