Question

A gas occupies volume of $580mL$ at $17{}^{o}C.$ It is heated to $100{}^{o}C$ at constant pressure. Calculate the final volume of the gas -

• A. $746mL$
• B. $760mL$
• C. $773mL$
• D. $780mL$

Answer 1

The correct option is A $746mL$

Initial volume ($V_1)=580mL,$
$T_1=17+273=290K$
Final Volume $\left(V_2\right)$ = ?
$T_2=100+273=373K$
According to the Charle's law:
At constant pressure, the volume of the fixed amount of the gas is directly proportional to absolute temperature.
$\frac{V_1}{T_1}=\frac{V_2}{T_2};$ at constant pressure
$\therefore V_2=T_2\times \frac{V_1}{T_1}=373\times \frac{580}{290}=746mL.$