130cm3 of a gas at 20oc excert a pressure of 750mmhg calculate it's pressure if it's volume is increased to 150cm3 at 35oc
To calculate the new pressure of the gas when its volume is increased to 150 cm3 at 35°C, we can use the combined gas law equation:
(P1 × V1) / (T1) = (P2 × V2) / (T2)
Where:
P1 = initial pressure of the gas
V1 = initial volume of the gas
T1 = initial temperature of the gas
P2 = final pressure of the gas (what we are trying to calculate)
V2 = final volume of the gas
T2 = final temperature of the gas
Given information:
P1 = 750 mmHg (initial pressure)
V1 = 130 cm3 (initial volume)
T1 = 20°C (initial temperature)
V2 = 150 cm3 (final volume)
T2 = 35°C (final temperature)
First, let's convert the temperatures from Celsius to Kelvin, since the gas law equation requires temperature in Kelvin:
T1 = 20°C + 273.15 = 293.15 K
T2 = 35°C + 273.15 = 308.15 K
Now we can plug the values into the equation and solve for P2:
(750 mmHg × 130 cm3) / 293.15 K = (P2 × 150 cm3) / 308.15 K
To solve for P2, we can cross multiply:
(750 mmHg × 130 cm3) × 308.15 K = (P2 × 150 cm3) × 293.15 K
Divide both sides of the equation by (150 cm3 × 293.15 K) to isolate P2:
P2 = (750 mmHg × 130 cm3 × 308.15 K) / (150 cm3 × 293.15 K)
Now, let's calculate P2:
P2 = (750 mmHg × 130 cm3 × 308.15 K) / (150 cm3 × 293.15 K)
After performing the calculation, the resulting value will be the new pressure of the gas when its volume is increased to 150 cm3 at 35°C.