Physics question on Heat Exchange?

AIn summary, the problem involves determining the time it takes for 2.00 x 10^2 kg of ammonia gas to increase in temperature by 12°C when exposed to solar radiation of 6.00 x 10^2 W at constant volume. Further information, such as the number of moles of ammonia and its molar heat capacity at constant volume, would be necessary to solve this problem.
  • #1
cash.money
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Homework Statement



The sun heats 2.00 x 10^2 kg of ammonia gas that is kept at constant volume in a large tank. Assuming that solar radiation of 6.00 x 10^2 W caused the heating, determine the length of time it took to raise the ammonia's temperature by 12°C.


Homework Equations





The Attempt at a Solution

 
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  • #2
cash.money said:

Homework Statement



The sun heats 2.00 x 10^2 kg of ammonia gas that is kept at constant volume in a large tank. Assuming that solar radiation of 6.00 x 10^2 W caused the heating, determine the length of time it took to raise the ammonia's temperature by 12°C.
You will have to show us what you have done. How many moles of ammonia do you have? What is the molar heat capacity of ammonia gas at constant volume?

AM
 
  • #3


To solve this problem, we can use the formula Q = mcΔT, where Q is the heat absorbed, m is the mass of the gas, c is the specific heat capacity, and ΔT is the change in temperature. First, we need to calculate the heat absorbed by the ammonia gas. We know that the solar radiation is the source of heat, so we can use the formula P = Q/t, where P is the power of the radiation, Q is the heat absorbed, and t is the time. Plugging in the given values, we get Q = (6.00 x 10^2 W)(t).

Next, we need to calculate the specific heat capacity of ammonia gas. According to the International Union of Pure and Applied Chemistry, the specific heat capacity of ammonia gas is 2.08 J/g·K. Converting the mass of the gas from kg to g, we get 2.00 x 10^5 g.

Now, we can plug in all the values into the formula Q = mcΔT. We know that the temperature change is 12°C, so ΔT = 12 K. Plugging in the values, we get (6.00 x 10^2 W)(t) = (2.00 x 10^5 g)(2.08 J/g·K)(12 K).

Solving for t, we get t = 5 x 10^2 seconds, or 8.33 minutes. Therefore, it took approximately 8.33 minutes for the sun to raise the temperature of the ammonia gas by 12°C.
 

What is heat exchange in physics?

Heat exchange in physics refers to the transfer of thermal energy between two systems or objects that are at different temperatures. This can occur through various processes such as conduction, convection, and radiation.

How does heat exchange occur?

Heat exchange occurs when there is a temperature difference between two systems. The thermal energy will naturally flow from the hotter system to the cooler one until they reach equilibrium. This transfer can happen through physical contact, movement of fluids, or electromagnetic waves.

What factors affect heat exchange?

The rate of heat exchange is affected by several factors, including the temperature difference between the two systems, the surface area of contact, the type of material, and the distance between the systems. Additionally, the presence of insulating materials or external forces like wind can also impact heat exchange.

How is heat exchange measured?

The amount of heat exchanged can be measured using the unit of energy called joules (J). It can also be quantified using the unit of power, which is measured in watts (W). The rate of heat exchange can be calculated using the equation Q/t = kAΔT/L, where Q is the amount of heat transferred, t is the time, k is the thermal conductivity, A is the surface area, ΔT is the temperature difference, and L is the distance between the systems.

What are some real-life applications of heat exchange?

Heat exchange is a fundamental concept in many everyday applications, including heating and cooling systems, cooking, refrigeration, and air conditioning. It is also essential in industrial processes such as power generation, chemical reactions, and materials processing. Understanding heat exchange is crucial in designing efficient and sustainable technologies.

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