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Explanation: The losses in kW is calculated along with the difference of air temperatures
at inlet and outlet. On substitution the volume of air can be obtained
The volume of air, like any gas, isn’t determined by a straightforward formula because it depends on several factors including temperature, pressure, and the amount of substance (in terms of moles). The Ideal Gas Law, however, provides a way to calculate the volume of a gas under certain conditions. The formula for the Ideal Gas Law is:
[ PV = nRT ]
Where:
– (P) is the pressure of the gas,
– (V) is the volume of the gas,
– (n) is the number of moles of the gas,
– (R) is the ideal gas constant (8.314 J/(mol·K) or 0.0821 L·atm/(mol·K), depending on the units used for pressure),
– (T) is the temperature of the gas in Kelvin.
To solve for the volume (V) of the air (or any ideal gas), the formula is rearranged to:
[ V = frac{nRT}{P} ]
It’s important to note that this formula applies under the assumption of ideal conditions which real gases approximate under low pressure and high temperature. It doesn’t perfectly predict the behavior of real gases under all conditions due to factors like gas particle volume and intermolecular forces, which are accounted for in more complex models like the Van der Waals equation.