Explanation:
P1V1 = nRT1
P2V2 = nRT2
Divide one by the other:
P1V1/P2V2 = nRT1/nRT2
From which:
P1V1/P2V2 = T1/T2
(Or P1V1 = P2V2 under isothermal conditions)
Inverting and isolating T2 (final temp)
(P2V2/P1V1)T1 = T2 (Temp in K).
Now P1/P2 = 1
V1/V2 = 1/2
T1 = 273 K, the initial temp.
Therefore, inserting these values into above:
2 x 273 K = T2 = 546 K, or 273 C.
Thus, increasing the temperature to 273 C from 0C doubles its volume, assuming ideal gas behaviour. This result could have been inferred from the fact that the the volume vs temperature line above the boiling temperature of the gas would theoretically have passed through the origin (0 K) which means that a doubling of temperature at any temperature above the bp of the gas, doubles the volume.
From the ideal gas equation:
V = nRT/P or at constant pressure:
V = kT where the constant k = nR/P. Therefore, theoretically, at 0 K the volume is zero. Of course, in practice that would not happen since a very small percentage of the volume would be taken up by the solidified gas.
Answer:
2000 mL
Explanation:
We have the following data:
Initial volume: V₁ = 1000 mL
Initial temperature: T₁ = -86°C + 273 = 187 K
Final temperature: T₂= 101°C + 273 = 374 K
According to Charles' law, as the temperature of a gas is increased at constant pressure, the volume is increased. That is expressed mathematically as:
V₁/T₁ = V₂/T₂
Thus, we calculate the final volume V₂ as follows:
V₂ = V₁/T₁ x T₂ = (1000 mL)/187 K x 374 K = 2000 mL
Therefore, the final volume is 2000 mL.
Answer: The three main factors of weather are light (solar radiation), water (moisture) and temperature.
The total energy of a system remains constant.
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