two identical rooms in a house are connected by an open doorway. The temperature in two rooms are maintained at different values. Which room contains more air and why?
Answers
The room with lower temperature will contain more air.
- According to the Charle's law,we know that :
Volume of Gas is directly proportional to the the temperature.
So,
Let,the volume of first room = V1
Volume of second room = V2
Temperature of first room = T1
Temperature of second room = T2
Now, according to Charles Law,
V1/T1 = constant and V2/T2 = constant
Now, assume T1 > T2
So, due to direct proportion,the
V1 will be also greater than V2 to maintain a constant value.
To maintain a greater volume the compressibility of the first room's air is lower than the second room.
Which means,the room with greater temperature can be filled with small amount of air due to less compression but the room with greater temperature needs more air to fill it's volume due to higher compression value.
Explanation:
- We are given to rooms that are identical in nature that means the volume and area of the room will be the same.
- The only difference that the rooms will have is of temperature that means one room will have higher and the other will have lower temperature.
We know the formula that gives the ideal gas situation,
PV = nRT
- As per the ideal gas formula we can find out the relation between temperature and Air present in the room.
- The relation is inverse between the air molecules present in the room and the temperature of the room, Hence the room with lower temperature will have more number of molecules of air.
To know more:
Two identical loops, one of copper and the other of aluminium, are rotated with the same angular speed in the same magnetic field. compare (i) the induced emf and (ii) the current produced in the two coils. justify your answer.
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