130cm3 of a gas at 20°c exerts a pressure of 750mmhg.calculate it pressure if its volume is increase to 150cm3 at 35°c
Thanks
since PV=kT, you want P such that
150P/(35+273) = 130*750/(20+273)
P2=683mmHg
To calculate the new pressure of the gas, we can use the combined gas law formula, which states that "the ratio of the product of the initial pressure (P1) and initial volume (V1) to the product of the final pressure (P2) and final volume (V2) is equal to the ratio of the final temperature (T2) to the initial temperature (T1)."
The formula can be written as follows:
(P1 * V1) / (P2 * V2) = (T1 / T2)
Let's start by converting the initial and final volumes to liters since the pressures are often given in mmHg, and for the formula to work, the volume should be in the same unit as the pressure.
Initial volume (V1) = 130 cm3 = 130 / 1000 = 0.13 L
Final volume (V2) = 150 cm3 = 150 / 1000 = 0.15 L
Next, we need to convert the temperatures from Celsius to Kelvin since the temperature should be in the Kelvin scale for the formula.
Initial temperature (T1) = 20°C + 273.15 = 293.15 K
Final temperature (T2) = 35°C + 273.15 = 308.15 K
Now, we can plug the values into the formula and solve for the final pressure (P2):
(750 mmHg * 0.13 L) / (P2 * 0.15 L) = (293.15 K / 308.15 K)
To find P2, we can rearrange the formula:
P2 = (750 mmHg * 0.13 L * 308.15 K) / (0.15 L * 293.15 K)
Calculating this expression will give us the new pressure (P2) in mmHg.