What is the mass of a sample of iron that has had 300.0 j applied to it and heats up from 20.0 degrees Celsius to 40.0 degrees Celsius.. the specific heat of iron is 0.46j/gC

Respuesta :

Answer:

The mass of a sample of iron that has had 300 J applied to it and heats up from 20 degrees Celsius to 40 degrees Celsius is 32.61 grams.

Explanation:

Calorimetry is the measurement and calculation of the measurement of heat changes exchanged by a body or a system produced in physical and chemical processes.

The sensible heat of a body is the amount of heat received or transferred by a body to produce a change in temperature but without a change in physical state.

The sensible heat in a constant pressure is calculated by:

Q = c * m * ΔT

where Q is the heat exchanged by a body of mass m, constituted by a substance of specific heat c, and where ΔT is the temperature variation (ΔT=Tfinal - Tinitial)

In this case:

  • Q= 300 J
  • c= 0.46 [tex]\frac{J}{g*C}[/tex]
  • m= ?
  • Tfinal= 40 C
  • Tinitial= 20 C

Replacing:

300 J= 0.46 [tex]\frac{J}{g*C}[/tex] * m* (40 - 20) C

Solving:

300 J= 0.46 [tex]\frac{J}{g*C}[/tex] * m* 20 C

[tex]m=\frac{300 J}{0.46 \frac{J}{g*C} * 20 C}[/tex]

m= 32.61 g