Answer:
P2 = 128,205 pascal.
Explanation:
<u>Given the following data;</u>
Original Pressure, P1 = 100,000 pascals
Original Temperature, T1 = 273K
New Temperature, T2 = 350K
To find new pressure P2, we would use Gay Lussac' law.
<em>Gay Lussac's law states that when the volume of an ideal gas is kept constant, the pressure of the gas is directly proportional to the absolute temperature of the gas. </em>
Mathematically, Gay Lussac's law is given by;
![PT = K](https://tex.z-dn.net/?f=%20PT%20%3D%20K)
Where;
- T represents temperature.
- K is the constant of proportionality.
<em>Making P2 as the subject formula, we have;</em>
Substituting into the equation, we have;
![P_{2}= \frac{100000}{273} * 350](https://tex.z-dn.net/?f=%20P_%7B2%7D%3D%20%5Cfrac%7B100000%7D%7B273%7D%20%2A%20350)
![P_{2}= 366.3004* 350](https://tex.z-dn.net/?f=%20P_%7B2%7D%3D%20366.3004%2A%20350)
P2 = 128205.13 ≈ 128205 pascal.
<em>Therefore, the pressure inside the hot water bottle is 128,205 pascal. </em>