In the engine cylinder, the air temperature at the beginning of compression was 50 ° C.

In the engine cylinder, the air temperature at the beginning of compression was 50 ° C. Find the air temperature at the end of compression if its volume decreases 17 times, and the pressure increases 50 times.

Given:

V = cylinder volume;

V1 = V / 17 – cylinder volume after compression;

P is the pressure in the cylinder;

P1 = 50 * P – pressure in the cylinder after compression;

T = 50 degrees Celsius = 323 degrees Kelvin – the initial gas temperature.

It is required to determine the gas temperature after compression T1 (Kelvin).

P * V / T = P1 * V1 / T1, hence:

T1 = P1 * V1 * T / (P * V) = 50 * P * V * T / (P * 17 * V) = 50 * T / 17 =

= 50 * 323/17 = 16150/17 = 950 degrees Kelvin (677 degrees Celsius).

Answer: The temperature of the gas after compression will be 950 degrees Kelvin (677 degrees Celsius).