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GAS THERMOMETERS QUESTION We have used the convenient approximation 1 kg/m^3 for

ID: 1770879 • Letter: G

Question

GAS THERMOMETERS QUESTION
We have used the convenient approximation 1 kg/m^3 for the density of air under normal conditions. Describe how to determine this density more accurately, and use this method to find a better value.
GAS THERMOMETERS QUESTION
We have used the convenient approximation 1 kg/m^3 for the density of air under normal conditions. Describe how to determine this density more accurately, and use this method to find a better value.
GAS THERMOMETERS QUESTION
We have used the convenient approximation 1 kg/m^3 for the density of air under normal conditions. Describe how to determine this density more accurately, and use this method to find a better value.

Explanation / Answer

Use the Ideal Gas Law: PV = nRT

where: P = pressure

V = volume

n = number of moles

R = gas constant

T = temperature

Substitute density into the Ideal Gas Law equation: D (Density) = n/V = P/RT

where: D = density

P = pressure

R = gas constant = gas constant , J/(kg_degK) = 287.05 for dry air T = temperature

Substitute the applicable numerical values into the equation and solve for density.

For example, Use the ISA standard values for conditions at sea level. P = 101325 Pa

T = 15 deg C The air density is calculated to be: D = (101325) / (287.05 * (15 + 273.15)) = 1.2250 kg/m3

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