To calculate the volume of the tank after heating it and its contents to 40°C at constant pressure, we can use the ideal gas law equation:
PV = nRT
Where: P = Pressure (constant) V = Volume n = Number of moles of gas R = Ideal gas constant T = Temperature (in Kelvin)
First, let's convert the given temperatures to Kelvin: Initial temperature (T1) = 25°C = 25 + 273.15 = 298.15 K Final temperature (T2) = 40°C = 40 + 273.15 = 313.15 K
Since the pressure remains constant, we can write the equation as:
V1 / T1 = V2 / T2
Where: V1 = Initial volume V2 = Final volume
Now, let's rearrange the equation to solve for V2:
V2 = (V1 * T2) / T1
Given: V1 = 2.3 L T1 = 298.15 K T2 = 313.15 K
Substituting the values into the equation:
V2 = (2.3 * 313.15) / 298.15 V2 ≈ 2.41 L
Therefore, the volume of the tank after heating it and its contents to 40°C at constant pressure will be approximately 2.41 liters.