Propane gas is stored in a tank at a pressure of 15.0 atm at 22.0 °C. The tank can hold a pressure of 42.0 atm before bursting. During a fire the gas is heated to 600.0 °C. What is the gas pressure, and will the tank contain the gas without bursting?

I know the questions wants me to find the gas pressure when the temperature is 600.0 °C, but don't I need more information like the volume of the tank to find the answer using the ideal gas law?

the tank is constant volume.

P1/P2=v1T1/v2T2 but v1=v2

p1/p2=T1/T2 change temps to Kelvins

Yes

Yes, you are correct. In order to use the ideal gas law to find the gas pressure, you would need more information, including the volume of the tank. The ideal gas law equation is given as:

PV = nRT

Where:
P = pressure (in atmospheres)
V = volume (in liters)
n = number of moles of gas
R = ideal gas constant (0.0821 L·atm/mol·K)
T = temperature (in Kelvin)

Since you only have the pressure and temperature values, you cannot directly use the ideal gas law to find the gas pressure.

However, you can use the combined gas law to indirectly find the gas pressure. The combined gas law equation is given as:

(P1 * V1) / T1 = (P2 * V2) / T2

Where:
P1 = initial pressure
V1 = initial volume
T1 = initial temperature (in Kelvin)
P2 = final pressure
V2 = final volume
T2 = final temperature (in Kelvin)

In this case, you are trying to find the final pressure (P2) at a given temperature (T2). You know the initial pressure (P1) and temperature (T1), but you don't know the volume.

Assuming the volume of the tank remains constant, you can assume that the initial volume (V1) is equal to the final volume (V2). This assumption is valid for rigid containers like tanks, where the volume doesn't change significantly.

Now you can rewrite the combined gas law equation as:

(P1 * V1) / T1 = (P2 * V1) / T2

Since V1 = V2, the equation becomes:

P1 / T1 = P2 / T2

Solving for P2, you get:

P2 = (P1 * T2) / T1

Now you can substitute the known values into the equation. Make sure to convert the temperatures to Kelvin by adding 273.15:

P2 = (15.0 atm * (600.0 °C + 273.15 K)) / (22.0 °C + 273.15 K)

After calculating P2, compare it to the maximum pressure the tank can withstand (42.0 atm) to determine if the tank can contain the gas without bursting.