Inside the engine of an automobile, the cylinder compresses the air from approximately standard temperature and pressure to one-twentieth of the original volume and a pressure of 50 atm. What is the temperature of the compressed air?

Question

Inside the engine of an automobile, the cylinder compresses the air from approximately standard temperature and pressure to one-twentieth of the original volume and a pressure of 50 atm. What is the temperature of the compressed air? (A) 500 K (B) 682 K (C) 550 K (D) 1000 K

Tardigrade Admin · Accepted Answer

As, we know the standard temperature and pressure are

273 K

and 1 atm, respectively.
So, from ideal gas equation

p V = n RT

Ratio

\frac{p _{1} V _{1}}{p _{2} V _{2}} = \frac{T _{1}}{T _{2}}

Given,

p_{1} = 1

atm,

p_{2} = 50

atm,

V_{1} = V

V_{2} = \frac{V}{20} and T_{1} = 273 K

\Rightarrow \frac{1 \times V}{50 \times \frac{V}{20}} = \frac{273}{T _{2}}

\Rightarrow T_{2} = 682 K

Q. Inside the engine of an automobile, the cylinder compresses the air from approximately standard temperature and pressure to one-twentieth of the original volume and a pressure of $50 a t m$ . What is the temperature of the compressed air?

500 K

682 K

550 K

1000 K

200 K

Q. Inside the engine of an automobile, the cylinder compresses the air from approximately standard temperature and pressure to one-twentieth of the original volume and a pressure of 50atm. What is the temperature of the compressed air?