If, after turning on the electric heater, the air temperature in the room increased from 17C to 27C
March 13, 2021 | education
| If, after turning on the electric heater, the air temperature in the room increased from 17C to 27C at a constant pressure, then the number of molecules in the room …
According to the Clapeyron-Mendeleev equation
P * V = n * R * T,
Where
P – gas pressure,
V is its volume,
n is the amount of gas,
R – gas constant,
T is the absolute temperature in K.
Since the volume and pressure of the gas do not change, you can write:
n1 * T1 = n2 * T2,
T1 = t1 + 273 ° = 17 ° C + 273 ° = 290 ° K,
T2 = t2 + 273 ° = 27 ° C + 273 ° = 300 ° K;
From here we get:
n2 / n1 = T1 / T2 = 290/300 = 0.967;
The number of molecules in the room has decreased by
(n1 – n2) * 100% / n1 = 100% * (1 – n2 / n1) = 3.3%.
Response decreased by 3.3%
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