130cm of a gas at 20°c exerts a pressure of 750 mmhg.calculate the pressure if its volume is 150cm^3 at 35°c
You know that PV=kT
So, PV/T = k a constant.
Now you just need to find P such that
P*150/(273+15) = 750*130/(273+20)
Why is it that most people worst subjects are those ones that has calculations.
Yes
Response to which question
To calculate the pressure of the gas, we can use the combined gas law formula:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where,
P1 = initial pressure
V1 = initial volume
T1 = initial temperature
P2 = final pressure (to be found)
V2 = final volume
T2 = final temperature
Given:
P1 = 750 mmHg
V1 = 130 cm^3
T1 = 20°C + 273.15 (to convert to Kelvin)
V2 = 150 cm^3
T2 = 35°C + 273.15 (to convert to Kelvin)
Now we substitute the given values into the formula and solve for P2:
(P1 * V1) / T1 = (P2 * V2) / T2
(750 mmHg * 130 cm^3) / (20°C + 273.15) = (P2 * 150 cm^3) / (35°C + 273.15)
(750 * 130) / (20 + 273.15) = (P2 * 150) / (35 + 273.15)
Multiply both sides by (35 + 273.15):
(750 * 130) = P2 * 150 * (35 + 273.15)
Divide both sides by (150 * (35 + 273.15)):
(750 * 130) / (150 * (35 + 273.15)) = P2
P2 ≈ 126.32 mmHg
Hence, the pressure of the gas at a volume of 150 cm^3 and temperature of 35°C is approximately 126.32 mmHg.