What happens to volume when pressure isbincresed by 5 percent?
Answers
Decreasing Pressure. The combined gas law states that the pressure of a gas is inversely related to the volume and directly related to the temperature. If temperature is held constant, the equation is reduced to Boyle's law. Therefore, if you decrease the pressure of a fixed amount of gas, its volume will increase.
Explanation:
Given:
A gas at a constant temperature.
To find:
How much should the pressure be increased in order to decrease the volume of a gas by 5%"at a constant temperature
Solution:
From given, we have,
A gas at a constant temperature.
According to Boyle's law ("The pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature.")
P₁V₁ = P₂V₂,
V₁ = V and V₂ = 0.95V (5% = 1 - 5/100 = 1 - 0.05 = 0.95)
⇒ P₁ × V = P₂ × 0.95V
⇒ P₁ = P₂ × 0.95
or P₂ = P₁/0.95 = 1.0526P₁
Increase in pressure
= P₂ - P₁
= 1.0526
P₁ − P₁ = 0.0526P₁ = 5.26% of P₁
∴ The pressure should be increased by 5.26% in order to decrease the volume of a gas by 5% at a constant temperature.