Final answer:
The total volume of gas can be determined using the ideal gas law formula PV = nRT, with pressure, volume, temperature, and number of moles.
Step-by-step explanation:
To determine the total volume of gas, we can employ the ideal gas law, which connects the number of moles of gas, its pressure, volume, and temperature.
The equation for the ideal gas law is PV = nRT. Before applying the ideal gas law, we must ensure that we have all the necessary variables: the pressure (P), the number of moles (n), the gas constant (R), and the temperature (T).
If we need to calculate changes in volume due to temperature or pressure changes, we may also use equations from Charles's law (V1/T1 = V2/T2 for constant pressure) or Boyle's law (P1V1 = P2V2 for constant temperature), depending on the context of the problem. It is also crucial to consider the units of these variables and to use consistent units throughout your calculations.
If an increase in volume is due to a temperature change, the equation describing the thermal expansion of the substance can be used, which is usually in the form ∆V = βV0∆T, where ∆V is the change in volume, β is the coefficient of volume expansion, V0 is the initial volume, and ∆T is the change in temperature.
When considering a spill due to expansion, the difference between the volume expansions of two substances, like gas and its container, must be taken into account, which might involve subtracting the change in volume of the container from the change in volume of the gas.
Finally, always check your answer to confirm that it makes sense given the physical situation. If a gas's temperature decreases, the volume should also decrease based on the relationship between gas volume and temperature.