When the temperature is doubled, the pressure is also doubled.
Data;
- Volume = constant
- T1 = 1
- T2 = 2
- P1 = 1
- P2 = ?
Pressure Law
Pressure law states that in a fixed volume of gas, the pressure is directly proportional to it's temperature. What this implies is that if the temperature is increased in 2 folds, the pressure also increases 2 times etc.
\(p\alpha t\\p = kT\\k = \frac{P_1}{T_1} = \frac{P_2}{T_2} = \frac{P_3}{T_3} = \frac{P_n}{T_n} \\\)
Let's substitute the values and confirm if our deductions was true.
\(\frac{P_1}{T_1} = \frac{P_2}{T_2} \\\frac{1}{1} = \frac{P_2}{2}\\ P_2 = 2 * 1 = 2\)
From the calculations above, we can see that when the temperature is doubled, the pressure is also doubled.
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