6。The dimensions of a room are 6 m by 5 m by 3 m. If the air pressure in the room is 1 atmosphere (atmospheric pressure), and the temperature is 20 °C, find the number of moles of air in the room. Note – you will need to convert from Celsius to Kelvin when using the ideal gas law. In the previous problem, imagine the room is sealed, i.e. no gas enters or leaves, and the temperature in the room drops from 20 °C to 5 °C. Will the pressure inside the room increase or decrease, and what is the magnitude of the new pressure? Imagine the previous two problems refer to a room in a house. At 20 C, the pressure inside and outside the house was equal, and there was no net force on the roof. If the pressure changes as outlined in problem 7, what is the direction of the net force on the roof? This is one of the reasons why it is dangerous to let the temperatures inside a sealed home drop too much, so that when you go away for an extended period in the winter, you are asked to leave the heating on (at a slightly lower setting, but not too low
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