130CM CUBEOF GAS AT 20 DEGREE EXACLT A PRESSURE OF 750MMhg CALCULATE ITS PRESSURE IF ITS VOLUME IS INCREASED TO 150CM CUBE AT 35 CENSLIS
no calculus here. Nor good spelling/typing either. Still,
PV=kT so PV/T = k, a constant. That means you want P such that
150P/(273+35) = 750*130/(273+20)
Now just crank it out.
AND STOP SHOUTING!
If you have trouble following the PV = k you can also use
P1V1 = P2V2, substitute and crank it out.
To solve this problem, we will use the combined gas law equation, which relates the initial and final conditions of a gas when pressure, volume, and temperature are changed:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where:
P1 = initial pressure (in mmHg)
V1 = initial volume (in cm^3)
T1 = initial temperature (in Kelvin)
P2 = final pressure (in mmHg) [The value we need to calculate]
V2 = final volume (in cm^3)
T2 = final temperature (in Kelvin)
Let's solve this step by step:
1. Convert the given temperature from Celsius to Kelvin:
T1 = 20°C + 273.15 = 293.15K
T2 = 35°C + 273.15 = 308.15K
2. Substitute the given values into the combined gas law equation:
(750 mmHg * 130 cm^3) / (293.15K) = (P2 * 150 cm^3) / (308.15K)
3. Rearrange the equation to solve for P2:
P2 = [(750 mmHg * 130 cm^3) / (293.15K)] * [(308.15K) / (150 cm^3)]
P2 ≈ 1199.30 mmHg
Therefore, if the volume is increased to 150 cm^3 at 35°C, the resulting pressure would be approximately 1199.30 mmHg.