130 cm3 of a gas exact a pressure 750mmhg. Calculate it's pressure if it's volume is increased to 150 cm3 at 35 degree Celsius
See your next post. Same formula.
Chemistry
To calculate the new pressure of the gas when its volume is increased, we can use the combined gas law equation, which states:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where:
P1 = initial pressure of the gas (in mmHg)
V1 = initial volume of the gas (in cm^3)
T1 = initial temperature of the gas (in Kelvin)
P2 = final pressure of the gas (unknown)
V2 = final volume of the gas (in cm^3)
T2 = final temperature of the gas (in Kelvin)
Now let's calculate the final pressure (P2) using the provided information:
Given:
P1 = 750 mmHg
V1 = 130 cm^3
V2 = 150 cm^3
T1 = 35 degrees Celsius
First, we need to convert the initial temperature from Celsius to Kelvin. To do this, we add 273.15 to the Celsius temperature:
T1 = 35 + 273.15 = 308.15 K
Next, we substitute the given values into the combined gas law equation:
(750 mmHg * 130 cm^3) / (308.15 K) = (P2 * 150 cm^3) / (308.15 K)
Now, we can solve for P2:
(750 mmHg * 130 cm^3 * 308.15 K) / (150 cm^3) = P2
Calculating this equation, we get:
P2 ≈ 639 mmHg
Therefore, when the volume of the gas is increased to 150 cm^3 at 35 degrees Celsius, the new pressure of the gas would be approximately 639 mmHg.