Answer:
P2 = 1125 mmHg
Step-by-step explanation:
Gas Pressure Calculation
To solve this problem, we need to use the combined gas law, which relates the pressure, volume, and temperature of a gas under different conditions. The combined gas law is given by:
(P1V1)/T1 = (P2V2)/T2
where P1, V1, and T1 are the initial pressure, volume, and temperature of the gas, and P2, V2, and T2 are the final pressure, volume, and temperature.
Let's start by calculating the initial conditions:
P1 = 750 mmHg
V1 = 120 cm^3
T1 = 25°C + 273.15 = 298.15 K (temperature in Kelvin)
Now we can plug in these values and solve for P2:
(P1V1)/T1 = (P2V2)/T2
(750 mmHg x 120 cm^3) / 298.15 K = (P2 x 150 cm^3) / (40°C + 273.15)
Simplifying this equation, we get:
P2 = (750 mmHg x 120 cm^3 x (40°C + 273.15)) / (298.15 K x 150 cm^3)
P2 = 1125 mmHg
Therefore, the pressure of the gas would increase to 1125 mmHg if its volume increased to 150 cm^3 at 40°C.
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