The question is based on the ideal gas law, which states that the product of the pressure (P) and volume (V) of a gas is directly proportional to the product of the number of moles (n) of the gas and the temperature (T) in Kelvin. This can be written as:

PV = nRT

where R is the ideal gas constant.

If the temperature and pressure are tripled, the equation becomes:

3P * V2 = n * 3R * T

We can simplify this to:

V2 = (nRT) / (3P)

Since nRT is equal to PV (from the original ideal gas law), we can substitute PV in for nRT:

V2 = PV / (3P)

The P's cancel out, leaving:

V2 = V / 3

So, the ratio of the new volume (V2) to the initial volume (V) is 1/3.

Question

The question is based on the ideal gas law, which states that the product of the pressure (P) and volume (V) of a gas is directly proportional to the product of the number of moles (n) of the gas and the temperature (T) in Kelvin. This can be written as:

PV = nRT

where R is the ideal gas constant.

If the temperature and pressure are tripled, the equation becomes:

3P * V2 = n * 3R * T

We can simplify this to:

V2 = (nRT) / (3P)

Since nRT is equal to PV (from the original ideal gas law), we can substitute PV in for nRT:

V2 = PV / (3P)

The P's cancel out, leaving:

V2 = V / 3

So, the ratio of the new volume (V2) to the initial volume (V) is 1/3.

Knowee AI · Accepted Answer