Component mass in final state

Please solve specific problem below rather than providing examples. A rigid vessel having a volume of 0.028m^3 initially contains a mixture at 21 degrees Celcius and 100 kPa consisting of 79% Nitrogen and 21% Oxygen on a molar basis. Helium at 21 degrees Celcius is allowed to flow into the vessel until the pressure is 136 kPa. If the final temperature of the mixture within the vessel is 21 degrees Celcius, determine the mass, in kg, of each component present in the final state. (assume the mixture and components all behave as ideal gases)

Specific and Relative Humidity

You have a box that contains 100 kmoles of dry air and 1 kmole of water vapor. The contents are at a pressure of 100 kPa. Someone says that they need to have the enthalpy of the mixture to be 63.8 kJ/kg dry air where 0 degrees Celsius is the reference temperature at which enthalpy is zero. Find the following: a.) The Specific Humidity b.) The Temperature of the mixture c.) The Relative Humidity

Heat pump for house

Ever wonder if you can build a machine to heat up your house using the heat from the outside environment? Well you'll need to start with the heat pump concept. In this example, you'll learn how to determine the maximum theoretical coefficient of performance for a heat pump operating at steady state between a dwelling at 70 deg F and a pond at 40 deg F? Also, for the dwelling, if heat transfer through the walls and roof is 6.5x10^5 Btu per day, how would you determine the minimum theoretical power, in hp, to drive a heat pump operating at steady state between the dwelling at 70 deg F and a pond at 40 deg F?

Water is the working fluid in an ideal Rankine cycle.

Water is the working fluid in an ideal Rankine cycle. Saturated vapor enters the turbine at 18 MPa. The condenser pressure is 6 kPa. How to determine the quality of the fluid at the turbine exit, and the heat transfer to the steam passing through the boiler in kJ per kg of steam flowing? The enthalpy of the steam entering the turbine is 2509.1 kJ/kg and of the steam entering the pump is 151.53 kJ/kg.

At the beginning of a compression process of an air-standard Otto cycle

At the beginning of a compression process of an air-standard Otto cycle, p1 = 1 bar, T1 = 290 K, V1 = 400 cm^3. The maximum temperature in the cycle is 2200 K and the compression ratio is 8. How to determine the mass of air contained in the system, in kg, and the heat addition, in kJ? The internal energy at the end of the isentropic compression is 475.11 kJ/kg.