Answer:
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To calculate the approximate thermal energy in kilojoules per mole (kJ/mol) of molecules at a given temperature, you can use the Boltzmann constant (k) and the ideal gas law.
The Boltzmann constant (k) is approximately equal to 8.314 J/(mol·K). To convert this to kilojoules per mole, we divide by 1000:
k = 8.314 J/(mol·K) = 0.008314 kJ/(mol·K)
Now, we need to convert the temperature to Kelvin (K) since the Boltzmann constant is defined in Kelvin. To convert from Celsius to Kelvin, we add 273.15 to the temperature:
T(K) = 75°C + 273.15 = 348.15 K
Finally, we can calculate the thermal energy using the formula:
Thermal energy = k * T
Thermal energy = 0.008314 kJ/(mol·K) * 348.15 K
Thermal energy ≈ 2.894 kJ/mol
Therefore, at 75°C, the approximate thermal energy of molecules is approximately 2.894 kilojoules per mole (kJ/mol).
The heat capacity of one mole of water is approximately 75.29/1000 = 0.07529 kj/mol. This value represents the approximate thermal energy in kj/mol of water molecules at 75 ° C.
Thermal energy refers to the energy present in a system that arises from the random movements of its atoms and molecules. When a body has a temperature of 75 ° C, it has a thermal energy that depends on the type of molecules in it and their specific heat capacity.
In this context, we will consider the thermal energy in kj/mol of molecules at 75 ° C.Let's use water as an example to calculate the approximate thermal energy in kj/mol of molecules at 75 ° C. The specific heat capacity of water is 4.18 J/g °C, and the molar mass of water is 18.01528 g/mol. Therefore, the thermal energy in kj/mol of water molecules at 75 ° C can be calculated as follows:ΔH = mcΔt, whereΔH = thermal energy,m = mass of the sample,c = specific heat capacity of the sample,Δt = change in temperature
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Suppose that a sound source is emitting waves uniformly in all directions. If you move to a point twice as far away from the course, the frequency of the sound will be...?
The answer is unchanged. Can someone please show this through equations or explain why it remains unchanged? Don't just say doppler effect, please :)
If λ doubles, the frequency must remain constant, and this is why the frequency of the sound will be unchanged when you move twice as far away from the source.
What is Doppler Effect?
The Doppler Effect is an alteration in the apparent frequency of sound caused by the motion of the source, the observer, or both. The Doppler Effect may be used to calculate the relative speeds of the source and observer or to estimate the frequency of sound waves from a distant source, such as a star. The Doppler Effect is referred to as the shift in the frequency of the sound. Mathematically, this shift in frequency is referred to as the Doppler shift. Doppler shift in sound
The Doppler shift in sound may be computed using the following equation:
fD= v/c × f0
where v is the relative velocity of the observer and the source c is the velocity of sound waves in a given mediumf0 is the frequency of the source f D is the frequency observed Suppose that a sound source is emitting waves uniformly in all directions.
If we use the formula v = λ f
to calculate the frequency of sound, we get the following formula
:f = v/λ
Therefore, if λ doubles, the frequency must remain constant, and this is why the frequency of the sound will be unchanged when you move twice as far away from the source.
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