Question

A tank with its insulation not fully intact (q does not equal 0) has a volume of 0.07 cubic meters. Initially, the tank contains 0.02 kg of helium at 105 kPa. The tank is filled with helium from a supply line at 1000 kPa and 50 degrees Celsius. The filling process ends when the pressure of helium in the tank reaches the supply line pressure, at which time the temperature of the helium in the tank is 430 K. Determine the following:

A. The initial temperature of the helium in the tank.

Answer 1

To find the initial temperature of helium in the tank, we need to use the ideal gas law. The initial temperature is found by rearranging the ideal gas law to be T=(PV)/(nR) with the given pressure, volume, and the number of moles calculated from the mass and molar mass of helium.

Step-by-step explanation:

To determine the initial temperature of the helium in the tank, we can use the ideal gas law, expressed as PV=nRT, where P is the pressure, V is the volume, n is the number of moles of the gas, R is the ideal gas constant, and T is the temperature in Kelvin. Given the initial conditions are 0.02 kg of helium at 105 kPa and the volume of the tank is 0.07 cubic meters, we can calculate the initial temperature as follows:

• Firstly, we need to calculate the number of moles of helium using the molar mass of helium (approximately 4.00 g/mol).
• After finding the number of moles, we can solve for the temperature (T) by rearranging the ideal gas law to be T=(PV)/(nR).

To answer your question, more information or calculations would be needed for a precise answer as these are not provided in the scenario described.