Question

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?

Answer 1

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,

`\begin{gathered} (P_1V_1)/(T_1)=(P_2V_2)/(T_2) \\ \Rightarrow V_2=(P_1V_1T_2)/(T_1P_2) \end{gathered}`

On substituting the known values,