Question

At $0^{\circ }C$ and one atm pressure, a gas occupies $100cc$. If the pressure is increased to one and a half time and temperature is increased by one-third of absolute temperature, then final volume of the gas will be :

• A. $80cc$
• B. $88.9cc$
• C. $66.7cc$
• D. $100cc$

Answer 1

Answer: (B)

$88.9cc$

Initial temperature $T_1=0{}^{o}C=273.15K$

Initial pressure $P_1=1atm$

Initial volume $V_1=100cc$
Final temperature $T_2=(1+\frac{1}{3})\times 273.15=364.2K$
Final pressure $P_2=1\frac{1}{2}\times 1=1.5atm$
Final volume $V_2=$ ??
$\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_2}{T_2}$

$\frac{1atm\times 100cc}{273.15K}=\frac{1.5atm\times V_2}{364.2K}$

$V_2=88.9cc$
Hence, the final volume of the gas will be 88.9 cc.

Therefore, the correct option is A.