A diesel engine works at a high compression ratio to compress air until it reaches a temperature high enough to ignite the diesel fuel. Suppose the compression ratio (ratio of volumes) of a specific diesel engine is 19 to 1. If air enters a cylinder at 1 atm and is compressed adiabatically, the compressed air reaches a pressure of 66.0 atm. Assuming that the air enters the engine at room temperature (22.9°C) and that the air can be treated as an ideal gas, find the temperature (in K) of the compressed air.

P*V/T = constant according to the ideal gas law.

You know P2/P1 and V2/V1. Compute T2/T1.

T2/T1 = (P2/P1)*(V2/V1) = 66/19 = 3.474
T2 = 1029 K = 756 C

which of the following statements regarding adolescent suicide is not true

To find the temperature (in Kelvin) of the compressed air, we can use the ideal gas law and the adiabatic compression equation.

Step 1: Convert the initial pressure from atmospheres (atm) to Pascals (Pa).
- 1 atm = 101325 Pa

Step 2: Convert the initial temperature from Celsius (°C) to Kelvin (K).
- T(K) = T(°C) + 273.15

Step 3: Calculate the final temperature using the adiabatic compression equation.
- T2 = T1 * (P2 / P1)^((γ-1)/γ)
where,
T2 = final temperature
T1 = initial temperature
P2 = final pressure
P1 = initial pressure
γ = heat capacity ratio (for air, it is approximately 1.4)

So, let's plug in the values:

Step 1: Convert the initial pressure:
- P1 = 1 atm * 101325 Pa/atm = 101325 Pa

Step 2: Convert the initial temperature:
- T1 = 22.9°C + 273.15 = 296.05 K

Step 3: Calculate the final temperature:
- T2 = 296.05 K * (66.0 atm / 1 atm)^((1.4-1)/1.4)

Using a calculator, we can simplify the formula:

- T2 = 296.05 K * (66)^0.4286

Now we can calculate the final temperature:

- T2 = 296.05 K * (66)^0.4286 = 961.6 K

Therefore, the temperature of the compressed air is approximately 961.6 Kelvin.