(a) Use Boyle's law to calculate the volume the gas will occupy if the pressure is increased to 1.79 atm while the temperature is held constant.
3.17 L
(b) Use Charles's law to calculate the volume the gas will occupy if the temperature is increased to 175°C while the pressure is held
a. What's the original volume?
P1V1 = P2V2
b. What's the original volume?
(V1/T1) = (V2/T2)
Remember T must be in kelvin
To calculate the volume of the gas using Boyle's law, you need to know the initial volume, initial pressure, and the final pressure. Boyle's law states that at constant temperature, the product of the initial volume and pressure is equal to the product of the final volume and pressure. The formula for Boyle's law is:
P₁V₁ = P₂V₂
Where:
P₁ = Initial pressure
V₁ = Initial volume
P₂ = Final pressure
V₂ = Final volume
In this case, the initial volume is not given, so you'll need to find it in order to calculate the final volume. However, the equation can still be rearranged to solve for the final volume. Rearranging the equation gives:
V₂ = (P₁V₁) / P₂
From the given information, the initial volume (V₁) is unknown, the initial pressure (P₁) is known, the final pressure (P₂) is 1.79 atm, and the final volume (V₂) is what we need to find.
Therefore, in order to calculate the volume using Boyle's law, you will need to have the initial volume (V₁) given or find it using additional information.
To calculate the volume of the gas using Charles's law, you need to know the initial volume, initial temperature, and the final temperature. Charles's law states that at constant pressure, the ratio of the initial volume to the initial temperature is equal to the ratio of the final volume to the final temperature. The formula for Charles's law is:
(V₁ / T₁) = (V₂ / T₂)
Where:
V₁ = Initial volume
T₁ = Initial temperature (in Kelvin)
V₂ = Final volume
T₂ = Final temperature (in Kelvin)
In this case, the initial volume and temperature are unknown, so you'll need to find them in order to calculate the final volume. However, the equation can still be rearranged to solve for the final volume. By rearranging the equation, you get:
V₂ = (V₁ x T₂) / T₁
From the given information, the initial volume (V₁) is unknown, the initial temperature (T₁) is unknown, the final temperature (T₂) is 175°C, and the final volume (V₂) is what we need to find.
Therefore, to calculate the volume using Charles's law, you will need to have the initial volume and temperature given or find them using additional information.