If a given mass of gas occupies a volume of 10 cc at 1 atm pressure and temperature 100° C. What will be its volume at 4 atm pressure, the temperature being the same ?

Question

If a given mass of gas occupies a volume of 10 cc at 1 atm pressure and temperature 100° C. What will be its volume at 4 atm pressure, the temperature being the same ? (A) 100 cc (B) 400 cc (C) 104 cc (D) 2.5 cc

Tardigrade Admin · Accepted Answer

From ideal gas law, we get (p1 V1/T1)=(p2 V2/T2) Given, T1=T2, p1=1 atm, V1=10 cc, p2=4 atm V2=(p1 V1/p2)=(1 × 10/4)=2.5 cc

Q. If a given mass of gas occupies a volume of $10 cc$ at $1 a t m$ pressure and temperature $10 0^{\circ} C$ . What will be its volume at $4 a t m$ pressure, the temperature being the same ?

100 cc

400 cc

104 cc

2.5 cc

From ideal gas law, we get
$\frac{p _{1} V _{1}}{T _{1}} = \frac{p _{2} V _{2}}{T _{2}}$
Given, $T_{1} = T_{2}, p_{1} = 1 a t m$ ,
$V_{1} = 10 cc, p_{2} = 4 a t m$
$V_{2} = \frac{p _{1} V _{1}}{p _{2}} = \frac{1 \times 10}{4} = 2.5 cc$

Q. If a given mass of gas occupies a volume of 10cc at 1atm pressure and temperature 100∘C. What will be its volume at 4atm pressure, the temperature being the same ?