answer
136.2 mmHg
quick explanation :
P1 / T1 = P2 / T2
P2 = (P1 * T2) / T1
T1 = 88 K = -185.15 °C
T2 = 21 °C + 273.15 = 294.15 K
P2 = (40.8 mmHg * 294.15 K) / (88 K) = 136.2 mmHg
detailed explanation :
Gas pressure calculation.
(P1 * V1) / (T1) = (P2 * V2) / (T2)
P1 = initial pressure
V1 = initial volume (assumed constant)
T1 = initial temperature
P2 = final pressure (what we want to find)
V2 = same as V1 (assumed constant)
T2 = final temperature
T1 = 88 K = -185.15 °C
T2 = 21 °C + 273.15 = 294.15 K
(P1 * V1) / T1 = (P2 * V2) / T2
assuming that the volume of the container remains constant, so V1 = V2
P1 / T1 = P2 / T2
P2 = (P1 * T2) / T1
P2 = (40.8 mmHg * 294.15 K) / (88 K) = 136.2 mmHg
Therefore, the pressure in the container will be 136.2 mmHg when it warms up to 21 °C.
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