Solved Examples on Gas Pressure Formula
Example 1: A sample of nitrogen gas occupies a volume of 8 L at 27°C. If the temperature is increased to 93°C without changing the pressure or amount of gas, what will be its new volume?
Solution:
To solve this problem using Charles’s Law, we can use the equation
V1/T1=V2/T2
Here,
V1 = 8 L and T1 = (27 + 273)K = 300 K,
while T2 = (93 + 273)K = 366 K, Putting the given values in the above formula we get:
8/300 = V2/366
Now, cross-multiply:
300 × V2 = 8 × 366
Divide both sides by 300:
V2 = (8 × 366)/300 = 9.76
Hence the new Volume is 9.76 L.
Example 2: At standard temperature (27°C), a sample of helium has a volume of 0.1 m³ when the pressure is 3 atm. When the pressure increases to 6 atm, what will be its new volume if the temperature remains constant?
Solution:
Boyle’s Law states that
P1V1 = P2V2
Here, P1 = 3 atm and V1 = 0.1 m³, while P2 = 6 atm and the temperature stays constant. We want to find V2
3 × 0.1 = 6 × V2
Now, divide both sides by 6:
V2 = 3 × 0.1/6 = 0.05 m³
Hence, the new volume is 0.05 m³
Gas Pressure Formula
Gas Pressure Formula is P = (n/V)RT which is derived from the ideal gas law. This formula assumes that the gas behaves ideally, meaning it obeys the ideal gas law without considering factors such as intermolecular attractions. Gas pressure is the measure of force exerted by gas molecules in a specific area.
In this article, we look into gas pressure formula, gas pressure formula for mixture of gases, factors affecting gas pressure, derivation of gas pressure, and some solved examples based on it.
Table of Content
- What is Gas Pressure Formula?
- Derivation of Gas Pressure Formula
- Factors Affecting Gas Pressure
- Uses of Gas Law Formula