Final answer:
To determine the pressure change when a constant volume of gas is heated, we can use the ideal gas law equation: P1V1/T1 = P2V2/T2. In this case, the volume is constant, so we can simplify the equation and solve for P2.
Step-by-step explanation:
To determine the pressure change when a constant volume of gas is heated, we can use the ideal gas law equation: P1V1/T1 = P2V2/T2, where P1 and P2 are the initial and final pressures, V1 and V2 are the initial and final volumes, and T1 and T2 are the initial and final temperatures respectively.
In this case, the volume is constant, so V1 = V2. We are given P1 = 1.00 ATM and T1 = 20°C, and we need to find P2 at T2 = 40°C.
Using the equation, we can write: P1/T1 = P2/T2. Plugging in the values, we get: 1.00 ATM / (20 + 273) K = P2 / (40 + 273) K.
Simplifying the equation, we can solve for
P2: P2 = (1.00 ATM) * (40 + 273) K / (20 + 273) K
≈ 1.59 ATM.