Question

The answer should be 290 atm but I am not sure how to get to

that.
IS 45%? 35. (11) What is the approximate pressure inside a pressure cooker if the water is boiling at a of 130°C? Assume no air escaped during the heating process, which started at temperature 18°C.

Answer 1

To find the approximate pressure inside the pressure cooker when the water is boiling at 130°C, we can use the ideal gas law equation PV = nRT. By calculating the change in temperature and rearranging the equation, we can determine that the pressure is approximately 1.39 atm.

Step-by-step explanation:

To find the approximate pressure inside the pressure cooker, we can use the ideal gas law equation: PV = nRT.

Given that the boiling point of water is 130°C (403 K) and the starting temperature is 18°C (291 K), we can calculate the change in temperature, ΔT = 403 K - 291 K = 112 K.

Next, we can assume the number of moles of water remains constant, so n is the same on both sides of the equation. Rearranging the equation, we have P1V1 / T1 = P2V2 / T2, where P1 and T1 are the initial pressure and temperature, and P2 is the final pressure. Substituting the given values, we get (1 atm)(V1) / 291 K = P2(V2) / 403 K.

Since V1 and V2 are the same (assuming no air escaped), we can simplify the equation to (1 atm) / 291 K = P2 / 403 K.

Solving for P2, we get P2 = (1 atm)(403 K) / 291 K = 1.39 atm.