I got the answers 714.7072972 and 1159.26. These are both incorrect. Compressing

Question

I got the answers 714.7072972 and 1159.26. These are both incorrect.

Compressing gases requires work and the re-
sulting energy is usually converted to heat; if
this heat does not escape, the gas’s temper-
ature will rise. This effect is used in diesel
engines: The compressed air gets so hot that
when the fuel is injected, it ignites without
any spark plugs.
As an example, consider a cylinder in a
diesel engine in which air is compressed to
one twentieth of its original volume while the
pressure rises from 1 atm to 44 atm (absolute,
not gauge). Note that because the air heats
up while being compressed, its pressure rises
more than twenty-fold.
If the air is taken into the cylinder at 40C,
how hot does it get after being compressed?
Answer in units of C

Explanation / Answer

P1V1/T1 = P2V2/T2 (1 atm)(1 V)/(12+273.15K) = (56 atm)(1/20 V)/T 1/(285.15K)=(56/20) / T 1/(285.15)=(2.8) / T T = (285.15)(2.8) T = 798.42K T - 273.15 = T in degrees C 798.42 - 273.15K = 525.27 degrees C

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.