An ideal gas initially at pressure 1 bar is being compressed from 30 m3 to 10 m3 volume and its temperature decreases from 320 K to 280 K then find final pressure of gas.

Question

An ideal gas initially at pressure 1 bar is being compressed from 30 m3 to 10 m3 volume and its temperature decreases from 320 K to 280 K then find final pressure of gas. (A) 2.625 bar (B) 3.4 bar (C) 1.325 bar (D) 4.5 bar

Tardigrade Admin · Accepted Answer

P1=1 bar, V1=30 m3 V2=10 m3 T1=320 K, T2=280 K (P1V1/T1)=(P2V2/T2) ⇒ (1×30/320)=(P2×10/280) P2 = 2.625 bar

Q. An ideal gas initially at pressure 1 bar is being compressed from 30 m³ to 10 m³ volume and its temperature decreases from 320 K to 280 K then find final pressure of gas.

2.625 bar

3.4 bar

1.325 bar

4.5 bar

$P_{1} = 1 ba r, V_{1} = 30 m^{3}$
$V_{2} = 10 m^{3}$
$T_{1} = 320 K, T_{2} = 280 K$
$\frac{P _{1} V _{1}}{T _{1}} = \frac{P _{2} V _{2}}{T _{2}} \Rightarrow \frac{1 \times 30}{320} = \frac{P _{2} \times 10}{280}$
$P_{2} = 2.625 ba r$

Q. An ideal gas initially at pressure 1 bar is being compressed from 30 m3 to 10 m3 volume and its temperature decreases from 320 K to 280 K then find final pressure of gas.