The air temperature in the room changed from 7 to 27 ° С. By what percentage has the number of molecules in the room decreased?
If we assume that the air pressure in the room does not change, then using the equation of state for an ideal gas, we can make the following equality:
N1 * T1 = N2 * T2
N2 = N1 * T1 / T2
Then we get the following equation:
100% * (N1-N2) / N1 = 100% * (1 – N2 / N1) = 100% * (1 – T1 / T2) = 100% * (1 – 7/27) = 74%
T1 – initial temperature (needed in Kelvin, but can be neglected);
T2 is the final temperature.
Answer: changed by 74%
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