Question

If a given mass of gas occupies a volume of $10\, cc$ at $1\, atm$ pressure and temperature $100^{\circ} C$. 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

Answer 1

Answer: (D)

From ideal gas law, we get
$\frac{p_{1} V_{1}}{T_{1}}=\frac{p_{2} V_{2}}{T_{2}}$
Given, $T_{1}=T_{2},\,p_{1}=1 atm$,
$V_{1}=10\, cc,\, p_{2}=4\, atm$
$V_{2}=\frac{p_{1} V_{1}}{p_{2}}=\frac{1 \times 10}{4}=2.5\, cc$