Pressure of an ideal gas -- A Level Multiple Choice Problem

In summary, pressure in an ideal gas is the force exerted per unit area on the walls of the container by the gas molecules as they collide with the walls. According to the ideal gas law, pressure is directly proportional to temperature, meaning that as temperature increases, pressure also increases, and vice versa. The formula for calculating the pressure of an ideal gas is P = (nRT)/V, where P is the pressure, n is the number of moles of gas, R is the gas constant, T is the temperature in Kelvin, and V is the volume of the gas. The pressure of an ideal gas is directly proportional to the number of moles of gas present. This means that as the number of moles increases, the
  • #1
maxelcat
32
3
Homework Statement
Bit stuck on this... AQA question. I know I am doing something wrong but I can't see it

Two flasks X and Y are filled with an ideal gas and are connected by a tube of negligible volume compared to that of the flasks. The volume of X is twice the volume of Y.

X is held at a temperature of 150 K and Y is held at a temperature of 300 K

What is the ratio of mass in x / mass in y

Please can anyone help?

Thanks
Relevant Equations
(pV/ T)= constant and pV=n RT
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  • #2
Sorry meant to say answer is c
 
  • #3
As I understand your work, you start by asserting: $$\frac{P_x2V_y}{150}=\frac{P_yV_y}{300}$$Where does this assertion come from?

You then use the truth of that assertion to conclude that$$P_x=\frac{P_y}{4}$$But the fact that there is a tube connecting the two chambers indicates that in fact, ##P_x=P_y##.

Your factor of four error is right there.
 
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1. How is pressure defined for an ideal gas?

The pressure of an ideal gas is defined as the force per unit area exerted by the gas particles on the walls of the container.

2. What is the ideal gas law?

The ideal gas law is an equation that relates the pressure, volume, temperature, and number of moles of an ideal gas. It is written as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

3. How do you calculate the pressure of an ideal gas?

The pressure of an ideal gas can be calculated using the ideal gas law, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. Alternatively, it can also be calculated using the formula P = nRT/V, where P is pressure, n is the number of moles, R is the gas constant, and T is temperature.

4. What is the relationship between pressure and volume for an ideal gas?

According to Boyle's Law, the pressure of an ideal gas is inversely proportional to its volume at a constant temperature and number of moles. This means that as the volume of an ideal gas decreases, its pressure increases, and vice versa.

5. How does temperature affect the pressure of an ideal gas?

According to Charles's Law, the pressure of an ideal gas is directly proportional to its temperature at a constant volume and number of moles. This means that as the temperature of an ideal gas increases, its pressure increases, and vice versa. Additionally, according to Gay-Lussac's Law, the pressure of an ideal gas is also directly proportional to its temperature at a constant pressure and number of moles.

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