Respuesta :
Answer:
The energy required to raise the temperature from 274 K to 294 K is
705.6 J.
The molar heat capacity is 0.24 J/°Cg.
The mass sample is 200,320.3 g.
Explanation:
To solve this problem you have to consider the following equation:
Q = m×s×Δt where Q: energy required to raise temperature, m: mass,
s: specific heat capacity and Δt: change in temperature.
1) Given the specific heat capacity of silver (0.24 J/°Cg), the mass of silver (147.0 g) and the variation in temperature (Δt= 294 K - 274 K = 20 K). As we are talking about a variation in temperature, if we express in °C the result will be the same, 20°C.
Q = m×s×Δt = (147.0 g) x (0.24 J/°Cg) x (20 °C) = 705.6 J
So, the energy required will be 705.6 J.
2) Then you have to find the molar heat capacity of silver. The specific heat capacity is equal to molar heat capacity when the substance is a solid or liquid and has another value when the substance is a gas. In this problem, as silver is a solid its molar heat capacity will be 0.24 J/°Cmol.
3) Finally you have to find the mass of a sample that needs 125 kJ or 125000 J (Q) of energy to increase its temperature from 12.4 °C to 15.0 °C (Δt= 15.0 °C - 12.4 °C = 2.6 °C)
.Q = m×s×Δt ⇒ 125000 J = m x (0.24 J/°Cg)x (2.6 °C)
⇒ 125000 J/ (0.24 J/°Cg)x (2.6 °C) = m ⇒ m= 200320.5 g or 200.3 kg.
The mass of the sample is 200,320.5 g.
The energy required to raise the temperature from 274 K to 294 K is 705.6J.,the molar heat capacity is 0.24 J/°Cg.and the mass sample is 200 and 320.3 g.
What is specific heat capacity ?
The amount of heat required to increase a substance's temperature by one degree Celsius is known as specific heat capacity.
Similarly, heat capacity is the relationship between the amount of energy delivered to a substance and the increase in temperature that results.
Mathematically specific heat capacity is given by;
[tex]\rm Q = ms\triangle t[/tex]
where,
Q is the amount of energy necessary to raise the temperature
m is the mass
Δt is the time it takes to raise the temperature.
s stands for specific heat capacity
while t stands for temperature change.
1)The energy required to raise the temperature from 274 K to 294 K is 705.6J.
The given data inn the problem is;
m is the mass of silver= (147.0 g),
s is the specific heat capacity of silver= (0.24 J/°Cg),
ΔT is the temperature fluctuation (t= 294 K - 274 K = 20 K)
[tex]\rm Q = ms\triangle T \\\\ \rm Q = 147.0 \times 0.24 \times (20^0) \\\\ \rm Q=705.6 J[/tex]
Hence the energy required to raise the temperature from 274 K to 294 K is 705.6J
2)The molar heat capacity is 0.24 J/°Cg
Then you must determine silver's molar heat capacity. When the material is a solid or liquid, the specific heat capacity is equal to the molar heat capacity,
but when the substance is a gas, it has a different value. Because silver is a solid, its molar heat capacity will be 0.24 J/°Cmol.
Hence ,the molar heat capacity is 0.24 J/°Cg
(3) The mass sample is 200 and 320.3 g.
[tex]\rm Q = ms\triangle T \\\\ \rm Q= 125000 J \\\\ \rm Q = m \times(0.24 \times 2.6^0) \\\\ \rm Q = \frac{ 125000}{ (0.24 \times 2.6 ^0) }\\\\ \rm m= 200320.5 g =200.3 kg.[/tex]
Hence the mass sample is 200 and 320.3 g.
To learn more about the specific heat capacity refer to thr link;
https://brainly.com/question/2530523
