How will the air pressure in the flask change if it is heated by 10 C without changing the mass?
| May 6, 2021 | education
Given:
P1 is the initial air pressure in the flask;
T1 is the initial temperature of the air in the flask;
T2 = T1 + 10 degrees Celsius – the air in the flask was heated.
It is required to determine P2 / P1 – how the air pressure in the flask will change if it is heated.
According to the condition of the problem, the air is in the flask and its mass does not change. That is, the process takes place at a constant volume (V = const). Then:
P1 / T1 = P2 / T2;
P2 = P1 * T2 / T1 = P1 * (T1 + 10) / T1.
P2 / P1 = (T1 + 10) / T1 = T1 / T1 + 10 / T1 = 1 + 10 / T1.
Analyzing the result obtained, we see that the gas pressure will increase by an amount equal to 10 / T1.
Answer: the gas pressure will increase by an amount equal to 10 / T1.
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