TICKET 1-23 1. Find the mass of air in a room of 25m^2 area and a height of 3.2 m Assume that the tem- perature in the room is 22^circ C and the barometric pressure is B=986.5hPa

To find the mass of air in the room, we can use the ideal gas law equation: Where:- is the pressure of the gas (in Pa)- is the volume of the gas (in m³)- is the number of moles of the gas- is the universal gas constant (8.314 J/(mol·K))- is the temperature of the gas (in K)First, we need to convert the given values to appropriate units:1. **Temperature Conversion:** 2. **Pressure Conversion:** Given barometric pressure can be converted to Pa: 3. **Volume Calculation:** The volume of the room is: Now, we can use the ideal gas law to find the number of moles of air in the room: Substitute the known values into the equation: Finally, to find the mass of the air, we multiply the number of moles by the molar mass of air (approximately 28.97 g/mol): Therefore, the mass of air in the room is approximately 92.6 kg.