2.1 Consider a carbonated drink in a bottle at 37°C and 130 kPa. Assuming the gas space above the liquid consists of a saturated mixture of CO2 and water vapor and treating the drink as water, determine (a) the mole fraction of the water vapor in the CO2 gas   (b) the mass of dissolved CO2 in a 200-ml drink.

Question 1. Derive an expression for the vapor density at the boiling point as a function of temperature. Assume that the ideal gas law is valid. The vapor density of water at 25°C is 23.4 g/m³. Calculate the vapor pressure and vapor density at 50°C.

A high-altitude balloon contains helium, whose molar mass is 4.00 g/mol. At theballoon’s maximum altitude, its volume is 792 m3 and the outside temperatureand pressure are -53.0 °C and 5.00 kPa, respectively. Assume that the helium in theballoon is in equilibrium with the outside air temperature and pressure.(a) Use the ideal gas law to find the amount of helium in the balloon at maximumaltitude.(b) Assuming no loss of helium, what would be the volume of the balloon when itwas launched from the ground, where the air temperature and pressure are 20.0°C and 101 kPa, respectively?(c) If the volume of the balloon when it was launched was 65.0 m3, how many molesof helium were lost during the balloon’s ascent?

Please solve this Thermo problem in half an hour.

Wet steam is water vapor containing droplets of liquid water. Steam quality defines the fraction of wet steam that is in the vapor phase. To dry steam (i.e., evaporate liquid droplets), wet steam (quality=0.89) is heated isothermally. The pressure of the wet steam is 4.8 bar and the flow rate of the dried steam is 0.488 m³/s. Determine the temperature (°C) at which the isothermal process occurs. Determine the specific enthalpy of the wet steam and the dry steam (kJ/kg). Determine the heat input (kW) required for the drying process.

Example 3.11 What pressure is generated when 500 mol of methane is stored in a volume of 0.06 m3 at 50°C? Base calculations on each of the following: (a) The ideal-gas state. (b) The Redlich/Kwong equation. (c) A generalized correlation.