Calculate Volumic Flow Rate for Air (kg/s) at 1 bar, 20 - 50°C

In summary, The conversation is about calculating the volumic flow rate for air using the ideal gas law. The given information includes the molar mass, pressure, mass flow, and temperatures. Chet asks for the density of air at 20C and 50C, but the original poster mistakenly gives the density of water. Chet clarifies that the ideal gas law should be used to calculate the density of air under the given process conditions.
  • #1
Erdo
2
0
Member warned about posting questions without the homework template
Hey guys,
can some of ou help me with this question:
I need to calculate the volumic flow rate for air by using the ideal gas law. Things i know from the assignment:

molarmass = 28,96 kg/kmol
Pressure = 1 bar
mass flow = 2 kg/s
t in = 20 degrees celcius
t out = 50 degrees celcius
(sorry for bad english, from denmark)
 
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  • #2
PF asks that you post homework and other assignment questions to one of the HW forums.
 
  • #3
From the ideal gas law, what is the density of the air at 20C? what is the density of the air at 50C?

Chet
 
  • #4
Chestermiller said:
From the ideal gas law, what is the density of the air at 20C? what is the density of the air at 50C?

Chet
well jeg think it's 1000 kg/m^3, because nothing else is given.
 
  • #5
Erdo said:
well jeg think it's 1000 kg/m^3, because nothing else is given.
That's some pretty dense air. A cubic meter of a-i-r has a mass of 1000 kg? Are you sure?
 
  • #6
Erdo said:
well jeg think it's 1000 kg/m^3, because nothing else is given.
That's the density of water, not air. You need to use the ideal gas law to get the density of air under the process conditions.

Chet
 

Related to Calculate Volumic Flow Rate for Air (kg/s) at 1 bar, 20 - 50°C

What is the formula for calculating volumic flow rate for air at 1 bar and 20-50°C?

The formula for calculating volumic flow rate for air at 1 bar and 20-50°C is Q = (m_dot * R * T)/(P * M), where Q is the volumic flow rate (kg/s), m_dot is the mass flow rate (kg/s), R is the gas constant for air (0.287 kJ/kg*K), T is the temperature (in Kelvin), P is the pressure (1 bar), and M is the molecular weight of air (28.97 kg/kmol).

What are the units of measurement for volumic flow rate?

The units of measurement for volumic flow rate are typically kilograms per second (kg/s) or cubic meters per second (m^3/s).

How do temperature and pressure affect the volumic flow rate of air?

As the temperature of air increases, the volumic flow rate also increases. This is because warmer air has a higher kinetic energy and can move faster, resulting in a higher flow rate. On the other hand, as pressure increases, the volumic flow rate decreases. This is because higher pressure can restrict the movement of air molecules, resulting in a lower flow rate.

Can the volumic flow rate of air be calculated for other temperatures and pressures?

Yes, the formula for calculating volumic flow rate can be used for any temperature and pressure, as long as the units are consistent. However, it is important to note that the gas constant and molecular weight for air may change at different temperatures and pressures.

Why is it important to calculate the volumic flow rate for air?

Calculating volumic flow rate for air is important in many industries, such as HVAC and ventilation systems, to ensure proper air circulation and ventilation. It is also important in aerodynamics and gas flow processes to understand the movement and behavior of air. Additionally, knowing the volumic flow rate can help with energy efficiency and cost savings in various applications.

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