Question

Volume of a given mass of gas at $17^{0}C$is measured as $200cm^{3}$. The volume of the same mass of gas at same pressure and a temperature of $47^{0}C$will be

• A. $77.5cm^{3}$
• B. $13.45cm^{3}$
• C. $220.6cm^{3}$
• D. $320cm^{3}$

Answer 1

Answer: (C)

$220.6cm^{3}$

Answer 2

: $\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}orV_{2} = \frac{V_{1}T_{2}}{T_{1}}$

$T_{1}$= 273+17=290 K ; $T_{2}$=273 + 47 = 320 K

$V_{2} = \frac{200 \times 320}{290} = 220.6cm^{3}$