The volume of a gas at 20° C is 200 ml . If the temperature is reduced to -20° C at constant pressure, its volume will be

Question

The volume of a gas at 20° C is 200 ml . If the temperature is reduced to -20° C at constant pressure, its volume will be (A) 172.6 ml (B) 17.26 ml (C) 192.7 ml (D) 19.27 ml

Tardigrade Admin · Accepted Answer

V propto T ⇒ (V1/V2)=(T1/T2) ⇒ (200/V2)=((273 + 20)/(273 - 20))=(293/253) ⇒ V2=(200 × 253/293)=172.6 ml

Q. The volume of a gas at $2 0^{\circ} C$ is $200 m l$ . If the temperature is reduced to $- 2 0^{\circ} C$ at constant pressure, its volume will be

$172.6 m l$

$17.26 m l$

$192.7 m l$

$19.27 m l$

$V \propto T$
$\Rightarrow \frac{V _{1}}{V _{2}} = \frac{T _{1}}{T _{2}}$
$\Rightarrow \frac{200}{V _{2}} = \frac{( 273 + 20 )}{( 273 - 20 )} = \frac{293}{253}$
$\Rightarrow V_{2} = \frac{200 \times 253}{293} = 172.6 m l$

Q. The volume of a gas at 20∘C is 200ml . If the temperature is reduced to −20∘C at constant pressure, its volume will be

172.6ml

17.26ml

192.7ml

19.27ml