Suppose that the Towngas supply pressure is 8.5 kPa (gauge pressure) andthe total volume is 2.4 m? enters a building from outside where thetemperature is 10 °C and passes into a building where the temperature is 35°C, if the pressure was reduced to 2 kPa. What would be the new volume ofthe gas?

Respuesta :

Given,

The initial pressure of the gas, P₁=8.5 kPa

The initial volume of the gas, V₁=2.4 m³

The initial temperature of the gas, T₁=10 °C=282.15 K

The temperature of the building, i.e., the temperature of the gas after entering the building, T₂=35 °C=308.15 K

The pressure of the gas after entering the building, P₂=2 kPa

Let us assume the new volume of the gas is V₂

From the combined gas law,

[tex]\begin{gathered} \frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2} \\ \Rightarrow V_2=\frac{P_1V_1T_2}{T_1P_2} \end{gathered}[/tex]

On substituting the known values,

[tex]undefined[/tex]