Respuesta :
The relation of the temperature and pressure of gas is proportional; if the temperature raises, the pressure will raise at the same rate.
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.
[tex]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} \\[/tex]
Let's substitute the values and confirm if our deductions was true.
[tex]\frac{P_1}{T_1} = \frac{P_2}{T_2} \\\frac{1}{1} = \frac{P_2}{2}\\ P_2 = 2 * 1 = 2[/tex]
From the calculations above, we can see that when the temperature is doubled, the pressure is also doubled.
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